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Finding the Third Proportional to 148,040 and 225,744

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Solution

The third proportional to 148,040 and 225,744 is: 344,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,040 : 225,744 = 225,744 : x
  2. Step 2: Convert to fraction form
    148,040/225,744 = 225,744/x
  3. Step 3: Cross multiply
    148,040x = 225,744 × 225,744
  4. Step 4: Simplify right side
    148,040x = 50,960,353,536
  5. Step 5: Solve for x
    x = 50,960,353,536/148,040
  6. Step 6: Final answer
    x = 344,233.68

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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.