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Finding the Third Proportional to 131,695.88 and 292,951.69

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Solution

The third proportional to 131,695.88 and 292,951.69 is: 651,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,695.88 : 292,951.69 = 292,951.69 : x
  2. Step 2: Convert to fraction form
    131,695.88/292,951.69 = 292,951.69/x
  3. Step 3: Cross multiply
    131,695.88x = 292,951.69 × 292,951.69
  4. Step 4: Simplify right side
    131,695.88x = 85,820,691,209.10
  5. Step 5: Solve for x
    x = 85,820,691,209.10/131,695.88
  6. Step 6: Final answer
    x = 651,658.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.