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Finding the Third Proportional to 131,532 and 284,086

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Solution

The third proportional to 131,532 and 284,086 is: 613,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,532 : 284,086 = 284,086 : x
  2. Step 2: Convert to fraction form
    131,532/284,086 = 284,086/x
  3. Step 3: Cross multiply
    131,532x = 284,086 × 284,086
  4. Step 4: Simplify right side
    131,532x = 80,704,855,396
  5. Step 5: Solve for x
    x = 80,704,855,396/131,532
  6. Step 6: Final answer
    x = 613,575.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.