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Finding the Third Proportional to 148,125.38 and 223,497.56

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Solution

The third proportional to 148,125.38 and 223,497.56 is: 337,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,125.38 : 223,497.56 = 223,497.56 : x
  2. Step 2: Convert to fraction form
    148,125.38/223,497.56 = 223,497.56/x
  3. Step 3: Cross multiply
    148,125.38x = 223,497.56 × 223,497.56
  4. Step 4: Simplify right side
    148,125.38x = 49,951,160,443.44
  5. Step 5: Solve for x
    x = 49,951,160,443.44/148,125.38
  6. Step 6: Final answer
    x = 337,222.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.