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Finding the Third Proportional to 191,251.13 and 281,044.69

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Solution

The third proportional to 191,251.13 and 281,044.69 is: 412,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,251.13 : 281,044.69 = 281,044.69 : x
  2. Step 2: Convert to fraction form
    191,251.13/281,044.69 = 281,044.69/x
  3. Step 3: Cross multiply
    191,251.13x = 281,044.69 × 281,044.69
  4. Step 4: Simplify right side
    191,251.13x = 78,986,116,371.97
  5. Step 5: Solve for x
    x = 78,986,116,371.97/191,251.13
  6. Step 6: Final answer
    x = 412,996.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.