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Finding the Third Proportional to 132,396 and 283,744

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Solution

The third proportional to 132,396 and 283,744 is: 608,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,396 : 283,744 = 283,744 : x
  2. Step 2: Convert to fraction form
    132,396/283,744 = 283,744/x
  3. Step 3: Cross multiply
    132,396x = 283,744 × 283,744
  4. Step 4: Simplify right side
    132,396x = 80,510,657,536
  5. Step 5: Solve for x
    x = 80,510,657,536/132,396
  6. Step 6: Final answer
    x = 608,104.91

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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.