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Finding the Third Proportional to 132,514 and 204,731

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Solution

The third proportional to 132,514 and 204,731 is: 316,304.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,514 : 204,731 = 204,731 : x
  2. Step 2: Convert to fraction form
    132,514/204,731 = 204,731/x
  3. Step 3: Cross multiply
    132,514x = 204,731 × 204,731
  4. Step 4: Simplify right side
    132,514x = 41,914,782,361
  5. Step 5: Solve for x
    x = 41,914,782,361/132,514
  6. Step 6: Final answer
    x = 316,304.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.