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Finding the Third Proportional to 148,757.25 and 226,623.75

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Solution

The third proportional to 148,757.25 and 226,623.75 is: 345,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,757.25 : 226,623.75 = 226,623.75 : x
  2. Step 2: Convert to fraction form
    148,757.25/226,623.75 = 226,623.75/x
  3. Step 3: Cross multiply
    148,757.25x = 226,623.75 × 226,623.75
  4. Step 4: Simplify right side
    148,757.25x = 51,358,324,064.06
  5. Step 5: Solve for x
    x = 51,358,324,064.06/148,757.25
  6. Step 6: Final answer
    x = 345,249.22

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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.