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Finding the Third Proportional to 217,966 and 292,915

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Solution

The third proportional to 217,966 and 292,915 is: 393,635.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,966 : 292,915 = 292,915 : x
  2. Step 2: Convert to fraction form
    217,966/292,915 = 292,915/x
  3. Step 3: Cross multiply
    217,966x = 292,915 × 292,915
  4. Step 4: Simplify right side
    217,966x = 85,799,197,225
  5. Step 5: Solve for x
    x = 85,799,197,225/217,966
  6. Step 6: Final answer
    x = 393,635.69

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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.