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Finding the Third Proportional to 148,342.38 and 229,553.19

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Solution

The third proportional to 148,342.38 and 229,553.19 is: 355,223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,342.38 : 229,553.19 = 229,553.19 : x
  2. Step 2: Convert to fraction form
    148,342.38/229,553.19 = 229,553.19/x
  3. Step 3: Cross multiply
    148,342.38x = 229,553.19 × 229,553.19
  4. Step 4: Simplify right side
    148,342.38x = 52,694,665,891.41
  5. Step 5: Solve for x
    x = 52,694,665,891.41/148,342.38
  6. Step 6: Final answer
    x = 355,223.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.