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Finding the Third Proportional to 132,524 and 283,984

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Solution

The third proportional to 132,524 and 283,984 is: 608,545.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,524 : 283,984 = 283,984 : x
  2. Step 2: Convert to fraction form
    132,524/283,984 = 283,984/x
  3. Step 3: Cross multiply
    132,524x = 283,984 × 283,984
  4. Step 4: Simplify right side
    132,524x = 80,646,912,256
  5. Step 5: Solve for x
    x = 80,646,912,256/132,524
  6. Step 6: Final answer
    x = 608,545.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.