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Finding the Third Proportional to 142,311.38 and 305,728.31

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Solution

The third proportional to 142,311.38 and 305,728.31 is: 656,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,311.38 : 305,728.31 = 305,728.31 : x
  2. Step 2: Convert to fraction form
    142,311.38/305,728.31 = 305,728.31/x
  3. Step 3: Cross multiply
    142,311.38x = 305,728.31 × 305,728.31
  4. Step 4: Simplify right side
    142,311.38x = 93,469,801,064.10
  5. Step 5: Solve for x
    x = 93,469,801,064.10/142,311.38
  6. Step 6: Final answer
    x = 656,797.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.