Although single-pixel correlated imaging has the capability to capture images in complex environments, it still encounters challenges such as high computational complexity, limited imaging efficiency, and reduced imaging quality under low-light conditions. We innovatively propose a symmetric related random phases-based correlated imaging method, which reduces the number of required random scattering media, enhances computational efficiency, and mitigates system noise interference. Single-pixel correlated imaging can be completed within 2 minutes using this approach. The experiments demonstrated that both the constructed dual-path thermal-optical correlated imaging system and the single-path computational correlated imaging system achieved high-quality imaging even under low-light conditions.