Current data from the LHC indicate that the 125 GeV Higgs boson, H, is either the single Higgs of the Standard Model or, to a good approximation, an "aligned Higgs". We propose that H is the pseudo-Goldstone dilaton of Gildener and Weinberg. Models based on their mechanism of scale symmetry breaking can naturally account for the Higgs boson's low mass and aligned couplings. We conjecture that they are the only way to achieve a "Higgslike dilaton" that is actually the Higgs boson. These models further imply the existence of additional Higgs bosons in the vicinity of 200 to about 550 GeV. We illustrate our proposal in a version of the two-Higgs-doublet model of Lee and Pilaftsis. Our version of this model is consistent with published precision electroweak and collider physics data. We describe tests to confirm, or exclude, this model at Run 3 of the LHC. * lane@bu.edu † shepherd@shsu.edu arXiv:1808.07927v2 [hep-ph] 15 Dec 2018 1 We follow GW in assuming that all gauge boson and fermion masses are due to their couplings to Higgs bosons.2 Bardeen has argued that the classical scale invariance of the SM Lagrangian with the Higgs mass term set to zero eliminates the quadratic divergences in Higgs mass renormalization [16]. That appears not to be correct. In any case, as far as we know, no one has yet proposed a plausible dynamics that produces a scale-invariant SM potential or the more general V 0 (Φ) in Eqs. (3) and (13) below. Obviously, doing that would be a great advance. 3 We assume that the f ijkl satisfy positivity conditions guaranteeing that V 0 has only finite minima. Hermiticity of V 0 also constrains these couplings.