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Finding the Third Proportional to 132,304 and 204,919

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Solution

The third proportional to 132,304 and 204,919 is: 317,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,304 : 204,919 = 204,919 : x
  2. Step 2: Convert to fraction form
    132,304/204,919 = 204,919/x
  3. Step 3: Cross multiply
    132,304x = 204,919 × 204,919
  4. Step 4: Simplify right side
    132,304x = 41,991,796,561
  5. Step 5: Solve for x
    x = 41,991,796,561/132,304
  6. Step 6: Final answer
    x = 317,388.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.