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Finding the Third Proportional to 148,732.38 and 226,584.13

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Solution

The third proportional to 148,732.38 and 226,584.13 is: 345,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,732.38 : 226,584.13 = 226,584.13 : x
  2. Step 2: Convert to fraction form
    148,732.38/226,584.13 = 226,584.13/x
  3. Step 3: Cross multiply
    148,732.38x = 226,584.13 × 226,584.13
  4. Step 4: Simplify right side
    148,732.38x = 51,340,365,702.02
  5. Step 5: Solve for x
    x = 51,340,365,702.02/148,732.38
  6. Step 6: Final answer
    x = 345,186.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.