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Finding the Third Proportional to 148,375.13 and 229,920.19

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Solution

The third proportional to 148,375.13 and 229,920.19 is: 356,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,375.13 : 229,920.19 = 229,920.19 : x
  2. Step 2: Convert to fraction form
    148,375.13/229,920.19 = 229,920.19/x
  3. Step 3: Cross multiply
    148,375.13x = 229,920.19 × 229,920.19
  4. Step 4: Simplify right side
    148,375.13x = 52,863,292,620.04
  5. Step 5: Solve for x
    x = 52,863,292,620.04/148,375.13
  6. Step 6: Final answer
    x = 356,281.37

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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.