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Finding the Third Proportional to 150,640.25 and 206,560.75

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Solution

The third proportional to 150,640.25 and 206,560.75 is: 283,239.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,640.25 : 206,560.75 = 206,560.75 : x
  2. Step 2: Convert to fraction form
    150,640.25/206,560.75 = 206,560.75/x
  3. Step 3: Cross multiply
    150,640.25x = 206,560.75 × 206,560.75
  4. Step 4: Simplify right side
    150,640.25x = 42,667,343,440.56
  5. Step 5: Solve for x
    x = 42,667,343,440.56/150,640.25
  6. Step 6: Final answer
    x = 283,239.99

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.