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Finding the Third Proportional to 70,414.31 and 156,571.31

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Solution

The third proportional to 70,414.31 and 156,571.31 is: 348,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,414.31 : 156,571.31 = 156,571.31 : x
  2. Step 2: Convert to fraction form
    70,414.31/156,571.31 = 156,571.31/x
  3. Step 3: Cross multiply
    70,414.31x = 156,571.31 × 156,571.31
  4. Step 4: Simplify right side
    70,414.31x = 24,514,575,897.97
  5. Step 5: Solve for x
    x = 24,514,575,897.97/70,414.31
  6. Step 6: Final answer
    x = 348,147.63

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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.