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Finding the Third Proportional to 131,952 and 279,624

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Solution

The third proportional to 131,952 and 279,624 is: 592,560.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,952 : 279,624 = 279,624 : x
  2. Step 2: Convert to fraction form
    131,952/279,624 = 279,624/x
  3. Step 3: Cross multiply
    131,952x = 279,624 × 279,624
  4. Step 4: Simplify right side
    131,952x = 78,189,581,376
  5. Step 5: Solve for x
    x = 78,189,581,376/131,952
  6. Step 6: Final answer
    x = 592,560.79

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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.