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Finding the Third Proportional to 150,909.75 and 204,221.25

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Solution

The third proportional to 150,909.75 and 204,221.25 is: 276,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,909.75 : 204,221.25 = 204,221.25 : x
  2. Step 2: Convert to fraction form
    150,909.75/204,221.25 = 204,221.25/x
  3. Step 3: Cross multiply
    150,909.75x = 204,221.25 × 204,221.25
  4. Step 4: Simplify right side
    150,909.75x = 41,706,318,951.56
  5. Step 5: Solve for x
    x = 41,706,318,951.56/150,909.75
  6. Step 6: Final answer
    x = 276,365.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.