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Finding the Third Proportional to 181,539 and 272,493

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Solution

The third proportional to 181,539 and 272,493 is: 409,016.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 272,493 = 272,493 : x
  2. Step 2: Convert to fraction form
    181,539/272,493 = 272,493/x
  3. Step 3: Cross multiply
    181,539x = 272,493 × 272,493
  4. Step 4: Simplify right side
    181,539x = 74,252,435,049
  5. Step 5: Solve for x
    x = 74,252,435,049/181,539
  6. Step 6: Final answer
    x = 409,016.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.