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Finding the Third Proportional to 131,532 and 285,204

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Solution

The third proportional to 131,532 and 285,204 is: 618,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,532 : 285,204 = 285,204 : x
  2. Step 2: Convert to fraction form
    131,532/285,204 = 285,204/x
  3. Step 3: Cross multiply
    131,532x = 285,204 × 285,204
  4. Step 4: Simplify right side
    131,532x = 81,341,321,616
  5. Step 5: Solve for x
    x = 81,341,321,616/131,532
  6. Step 6: Final answer
    x = 618,414.69

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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.