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Finding the Third Proportional to 184,612 and 397,304

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Solution

The third proportional to 184,612 and 397,304 is: 855,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,612 : 397,304 = 397,304 : x
  2. Step 2: Convert to fraction form
    184,612/397,304 = 397,304/x
  3. Step 3: Cross multiply
    184,612x = 397,304 × 397,304
  4. Step 4: Simplify right side
    184,612x = 157,850,468,416
  5. Step 5: Solve for x
    x = 157,850,468,416/184,612
  6. Step 6: Final answer
    x = 855,039.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.