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Finding the Third Proportional to 182,404 and 272,872

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Solution

The third proportional to 182,404 and 272,872 is: 408,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,404 : 272,872 = 272,872 : x
  2. Step 2: Convert to fraction form
    182,404/272,872 = 272,872/x
  3. Step 3: Cross multiply
    182,404x = 272,872 × 272,872
  4. Step 4: Simplify right side
    182,404x = 74,459,128,384
  5. Step 5: Solve for x
    x = 74,459,128,384/182,404
  6. Step 6: Final answer
    x = 408,209.95

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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.