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Finding the Third Proportional to 142,251.75 and 328,474.13

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Solution

The third proportional to 142,251.75 and 328,474.13 is: 758,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251.75 : 328,474.13 = 328,474.13 : x
  2. Step 2: Convert to fraction form
    142,251.75/328,474.13 = 328,474.13/x
  3. Step 3: Cross multiply
    142,251.75x = 328,474.13 × 328,474.13
  4. Step 4: Simplify right side
    142,251.75x = 107,895,250,794.52
  5. Step 5: Solve for x
    x = 107,895,250,794.52/142,251.75
  6. Step 6: Final answer
    x = 758,481.01

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.