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Finding the Third Proportional to 150,659.53 and 204,614.78

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Solution

The third proportional to 150,659.53 and 204,614.78 is: 277,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,659.53 : 204,614.78 = 204,614.78 : x
  2. Step 2: Convert to fraction form
    150,659.53/204,614.78 = 204,614.78/x
  3. Step 3: Cross multiply
    150,659.53x = 204,614.78 × 204,614.78
  4. Step 4: Simplify right side
    150,659.53x = 41,867,208,306.34
  5. Step 5: Solve for x
    x = 41,867,208,306.34/150,659.53
  6. Step 6: Final answer
    x = 277,892.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.