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Finding the Third Proportional to 181,750 and 372,566

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Solution

The third proportional to 181,750 and 372,566 is: 763,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,750 : 372,566 = 372,566 : x
  2. Step 2: Convert to fraction form
    181,750/372,566 = 372,566/x
  3. Step 3: Cross multiply
    181,750x = 372,566 × 372,566
  4. Step 4: Simplify right side
    181,750x = 138,805,424,356
  5. Step 5: Solve for x
    x = 138,805,424,356/181,750
  6. Step 6: Final answer
    x = 763,716.23

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.