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Finding the Third Proportional to 217,092.25 and 327,906.88

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Solution

The third proportional to 217,092.25 and 327,906.88 is: 495,286.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,092.25 : 327,906.88 = 327,906.88 : x
  2. Step 2: Convert to fraction form
    217,092.25/327,906.88 = 327,906.88/x
  3. Step 3: Cross multiply
    217,092.25x = 327,906.88 × 327,906.88
  4. Step 4: Simplify right side
    217,092.25x = 107,522,918,672.27
  5. Step 5: Solve for x
    x = 107,522,918,672.27/217,092.25
  6. Step 6: Final answer
    x = 495,286.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.