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Finding the Third Proportional to 150,198.75 and 304,542

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Solution

The third proportional to 150,198.75 and 304,542 is: 617,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198.75 : 304,542 = 304,542 : x
  2. Step 2: Convert to fraction form
    150,198.75/304,542 = 304,542/x
  3. Step 3: Cross multiply
    150,198.75x = 304,542 × 304,542
  4. Step 4: Simplify right side
    150,198.75x = 92,745,829,764
  5. Step 5: Solve for x
    x = 92,745,829,764/150,198.75
  6. Step 6: Final answer
    x = 617,487.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.