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Finding the Third Proportional to 71,495.16 and 155,440.27

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Solution

The third proportional to 71,495.16 and 155,440.27 is: 337,948.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,495.16 : 155,440.27 = 155,440.27 : x
  2. Step 2: Convert to fraction form
    71,495.16/155,440.27 = 155,440.27/x
  3. Step 3: Cross multiply
    71,495.16x = 155,440.27 × 155,440.27
  4. Step 4: Simplify right side
    71,495.16x = 24,161,676,177.57
  5. Step 5: Solve for x
    x = 24,161,676,177.57/71,495.16
  6. Step 6: Final answer
    x = 337,948.44

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.