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Finding the Third Proportional to 156,127.50 and 231,275.25

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Solution

The third proportional to 156,127.50 and 231,275.25 is: 342,593.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,127.50 : 231,275.25 = 231,275.25 : x
  2. Step 2: Convert to fraction form
    156,127.50/231,275.25 = 231,275.25/x
  3. Step 3: Cross multiply
    156,127.50x = 231,275.25 × 231,275.25
  4. Step 4: Simplify right side
    156,127.50x = 53,488,241,262.56
  5. Step 5: Solve for x
    x = 53,488,241,262.56/156,127.50
  6. Step 6: Final answer
    x = 342,593.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.