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Finding the Third Proportional to 181,476 and 272,394

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Solution

The third proportional to 181,476 and 272,394 is: 408,861.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,476 : 272,394 = 272,394 : x
  2. Step 2: Convert to fraction form
    181,476/272,394 = 272,394/x
  3. Step 3: Cross multiply
    181,476x = 272,394 × 272,394
  4. Step 4: Simplify right side
    181,476x = 74,198,491,236
  5. Step 5: Solve for x
    x = 74,198,491,236/181,476
  6. Step 6: Final answer
    x = 408,861.18

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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.