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Finding the Third Proportional to 131,463 and 285,282

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Solution

The third proportional to 131,463 and 285,282 is: 619,077.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,463 : 285,282 = 285,282 : x
  2. Step 2: Convert to fraction form
    131,463/285,282 = 285,282/x
  3. Step 3: Cross multiply
    131,463x = 285,282 × 285,282
  4. Step 4: Simplify right side
    131,463x = 81,385,819,524
  5. Step 5: Solve for x
    x = 81,385,819,524/131,463
  6. Step 6: Final answer
    x = 619,077.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.