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Finding the Third Proportional to 332,141.77 and 498,126.16

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Solution

The third proportional to 332,141.77 and 498,126.16 is: 747,059.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,141.77 : 498,126.16 = 498,126.16 : x
  2. Step 2: Convert to fraction form
    332,141.77/498,126.16 = 498,126.16/x
  3. Step 3: Cross multiply
    332,141.77x = 498,126.16 × 498,126.16
  4. Step 4: Simplify right side
    332,141.77x = 248,129,675,323.62
  5. Step 5: Solve for x
    x = 248,129,675,323.62/332,141.77
  6. Step 6: Final answer
    x = 747,059.54

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Why These Related Problems?

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