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Finding the Third Proportional to 71,516.25 and 155,324.25

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Solution

The third proportional to 71,516.25 and 155,324.25 is: 337,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,516.25 : 155,324.25 = 155,324.25 : x
  2. Step 2: Convert to fraction form
    71,516.25/155,324.25 = 155,324.25/x
  3. Step 3: Cross multiply
    71,516.25x = 155,324.25 × 155,324.25
  4. Step 4: Simplify right side
    71,516.25x = 24,125,622,638.06
  5. Step 5: Solve for x
    x = 24,125,622,638.06/71,516.25
  6. Step 6: Final answer
    x = 337,344.63

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Why These Related Problems?

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