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Finding the Third Proportional to 206,974.50 and 303,645.75

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Solution

The third proportional to 206,974.50 and 303,645.75 is: 445,469.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.50 : 303,645.75 = 303,645.75 : x
  2. Step 2: Convert to fraction form
    206,974.50/303,645.75 = 303,645.75/x
  3. Step 3: Cross multiply
    206,974.50x = 303,645.75 × 303,645.75
  4. Step 4: Simplify right side
    206,974.50x = 92,200,741,493.06
  5. Step 5: Solve for x
    x = 92,200,741,493.06/206,974.50
  6. Step 6: Final answer
    x = 445,469.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.