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Finding the Third Proportional to 148,602 and 225,743

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Solution

The third proportional to 148,602 and 225,743 is: 342,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602 : 225,743 = 225,743 : x
  2. Step 2: Convert to fraction form
    148,602/225,743 = 225,743/x
  3. Step 3: Cross multiply
    148,602x = 225,743 × 225,743
  4. Step 4: Simplify right side
    148,602x = 50,959,902,049
  5. Step 5: Solve for x
    x = 50,959,902,049/148,602
  6. Step 6: Final answer
    x = 342,928.78

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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.