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Finding the Third Proportional to 332,138.81 and 498,121.88

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Solution

The third proportional to 332,138.81 and 498,121.88 is: 747,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,138.81 : 498,121.88 = 498,121.88 : x
  2. Step 2: Convert to fraction form
    332,138.81/498,121.88 = 498,121.88/x
  3. Step 3: Cross multiply
    332,138.81x = 498,121.88 × 498,121.88
  4. Step 4: Simplify right side
    332,138.81x = 248,125,402,353.52
  5. Step 5: Solve for x
    x = 248,125,402,353.52/332,138.81
  6. Step 6: Final answer
    x = 747,053.32

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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.