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Finding the Third Proportional to 151,765.50 and 332,439.75

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Solution

The third proportional to 151,765.50 and 332,439.75 is: 728,203.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,765.50 : 332,439.75 = 332,439.75 : x
  2. Step 2: Convert to fraction form
    151,765.50/332,439.75 = 332,439.75/x
  3. Step 3: Cross multiply
    151,765.50x = 332,439.75 × 332,439.75
  4. Step 4: Simplify right side
    151,765.50x = 110,516,187,380.06
  5. Step 5: Solve for x
    x = 110,516,187,380.06/151,765.50
  6. Step 6: Final answer
    x = 728,203.63

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Why These Related Problems?

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