[stan_rogers]

Anything in the "military .30-calibre" (.308, .30-06, .303) range is good enough for bear (and moose) hunting; there's no need for exotics of any sort when you can choose the presentation, and any of that class of round will perform a humane kill (by any hunting standards) without unnecessary waste.

That said, one might want something heavier for stopping bear, but the ranges involved would suggest something more along the lines of a good 10- or 12-gauge slug than something with enough ballistic efficiency to have a kill potential more than a mile away.