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Finding the Third Proportional to 149,760 and 225,249.75

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Solution

The third proportional to 149,760 and 225,249.75 is: 338,791.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,760 : 225,249.75 = 225,249.75 : x
  2. Step 2: Convert to fraction form
    149,760/225,249.75 = 225,249.75/x
  3. Step 3: Cross multiply
    149,760x = 225,249.75 × 225,249.75
  4. Step 4: Simplify right side
    149,760x = 50,737,449,875.06
  5. Step 5: Solve for x
    x = 50,737,449,875.06/149,760
  6. Step 6: Final answer
    x = 338,791.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.