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Finding the Third Proportional to 132,571 and 280,499

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Solution

The third proportional to 132,571 and 280,499 is: 593,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,571 : 280,499 = 280,499 : x
  2. Step 2: Convert to fraction form
    132,571/280,499 = 280,499/x
  3. Step 3: Cross multiply
    132,571x = 280,499 × 280,499
  4. Step 4: Simplify right side
    132,571x = 78,679,689,001
  5. Step 5: Solve for x
    x = 78,679,689,001/132,571
  6. Step 6: Final answer
    x = 593,490.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.