Projecting rhymes with:
ejecting, injecting, objecting, rejecting, subjecting, affecting, collecting, connecting, correcting, defecting, deflecting, detecting, directing, disconnecting, disrespecting, dissecting, effecting, ejecting, electing, erecting, expecting, infecting, injecting, inspecting, intersecting, neglecting, objecting, perfecting, prospecting, protecting, recollecting, reconnecting, redirecting, reelecting, reflecting, rejecting, respecting, resurrecting, selecting, subjecting, suspecting, unsuspecting
Projecting sounds like:
parachuting, percutaneous, persecuting, persecutions, persistence, persisting, persuading, precautions, precedence, preceding, preceeding, preexisting, presidencies, presidency, presidency's, presiding, preston's, proceeding, proceedings, projections, prosecuting, prosecution's, prosecutions