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Finding the Third Proportional to 217,960.88 and 292,906.13

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Solution

The third proportional to 217,960.88 and 292,906.13 is: 393,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,960.88 : 292,906.13 = 292,906.13 : x
  2. Step 2: Convert to fraction form
    217,960.88/292,906.13 = 292,906.13/x
  3. Step 3: Cross multiply
    217,960.88x = 292,906.13 × 292,906.13
  4. Step 4: Simplify right side
    217,960.88x = 85,793,998,062.52
  5. Step 5: Solve for x
    x = 85,793,998,062.52/217,960.88
  6. Step 6: Final answer
    x = 393,621.09

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.