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Finding the Third Proportional to 151,734 and 332,040.75

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Solution

The third proportional to 151,734 and 332,040.75 is: 726,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,734 : 332,040.75 = 332,040.75 : x
  2. Step 2: Convert to fraction form
    151,734/332,040.75 = 332,040.75/x
  3. Step 3: Cross multiply
    151,734x = 332,040.75 × 332,040.75
  4. Step 4: Simplify right side
    151,734x = 110,251,059,660.56
  5. Step 5: Solve for x
    x = 110,251,059,660.56/151,734
  6. Step 6: Final answer
    x = 726,607.48

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.