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Finding the Third Proportional to 150,747.75 and 204,730.88

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Solution

The third proportional to 150,747.75 and 204,730.88 is: 278,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,747.75 : 204,730.88 = 204,730.88 : x
  2. Step 2: Convert to fraction form
    150,747.75/204,730.88 = 204,730.88/x
  3. Step 3: Cross multiply
    150,747.75x = 204,730.88 × 204,730.88
  4. Step 4: Simplify right side
    150,747.75x = 41,914,731,178.27
  5. Step 5: Solve for x
    x = 41,914,731,178.27/150,747.75
  6. Step 6: Final answer
    x = 278,045.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.