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Finding the Third Proportional to 132,204 and 257,766

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Solution

The third proportional to 132,204 and 257,766 is: 502,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,204 : 257,766 = 257,766 : x
  2. Step 2: Convert to fraction form
    132,204/257,766 = 257,766/x
  3. Step 3: Cross multiply
    132,204x = 257,766 × 257,766
  4. Step 4: Simplify right side
    132,204x = 66,443,310,756
  5. Step 5: Solve for x
    x = 66,443,310,756/132,204
  6. Step 6: Final answer
    x = 502,581.70

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.