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Finding the Third Proportional to 206,391.75 and 275,217.75

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Solution

The third proportional to 206,391.75 and 275,217.75 is: 366,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,391.75 : 275,217.75 = 275,217.75 : x
  2. Step 2: Convert to fraction form
    206,391.75/275,217.75 = 275,217.75/x
  3. Step 3: Cross multiply
    206,391.75x = 275,217.75 × 275,217.75
  4. Step 4: Simplify right side
    206,391.75x = 75,744,809,915.06
  5. Step 5: Solve for x
    x = 75,744,809,915.06/206,391.75
  6. Step 6: Final answer
    x = 366,995.34

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.