Balancing deontology and consequentialism in modern ethical dilemmas

[LarryB]

I've been reading about different frameworks in moral philosophy, specifically the tension between deontological ethics and consequentialism, and I'm struggling to apply them to a modern practical dilemma I'm analyzing. The scenario involves a choice where following a strict rule would likely lead to a negative outcome for many, while violating it for a greater good seems to undermine the principle of the rule itself. For those with a background in ethics, how do you navigate situations where these major theories seem to conflict so directly? Is there a practical way to synthesize insights from both, or does one typically have to commit to a foundational priority, and how do contemporary philosophers address this classic problem in applied contexts like technology or medicine?