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Finding the Third Proportional to 148,744.75 and 226,603.25

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Solution

The third proportional to 148,744.75 and 226,603.25 is: 345,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,744.75 : 226,603.25 = 226,603.25 : x
  2. Step 2: Convert to fraction form
    148,744.75/226,603.25 = 226,603.25/x
  3. Step 3: Cross multiply
    148,744.75x = 226,603.25 × 226,603.25
  4. Step 4: Simplify right side
    148,744.75x = 51,349,032,910.56
  5. Step 5: Solve for x
    x = 51,349,032,910.56/148,744.75
  6. Step 6: Final answer
    x = 345,215.77

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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.