There are many synonyms for the phrase "throw up to," which means to bring up or mention a topic. Some common alternatives include "broach," "raise," "introduce," "suggest," and "propose." Other possible options include "put forward," "offer," "submit," "present," and "advance." Each of these terms conveys a slightly different nuance of meaning, but all convey the idea of introducing a new subject to a conversation or discussion. By using synonyms for "throw up to," writers and speakers can vary their language and communicate more effectively, expressing themselves in a way that is more precise, clear, and engaging.