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Finding the Third Proportional to 181,539 and 291,267

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Solution

The third proportional to 181,539 and 291,267 is: 467,318.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 291,267 = 291,267 : x
  2. Step 2: Convert to fraction form
    181,539/291,267 = 291,267/x
  3. Step 3: Cross multiply
    181,539x = 291,267 × 291,267
  4. Step 4: Simplify right side
    181,539x = 84,836,465,289
  5. Step 5: Solve for x
    x = 84,836,465,289/181,539
  6. Step 6: Final answer
    x = 467,318.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.