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Finding the Third Proportional to 200,691.75 and 275,202.75

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Solution

The third proportional to 200,691.75 and 275,202.75 is: 377,377.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,691.75 : 275,202.75 = 275,202.75 : x
  2. Step 2: Convert to fraction form
    200,691.75/275,202.75 = 275,202.75/x
  3. Step 3: Cross multiply
    200,691.75x = 275,202.75 × 275,202.75
  4. Step 4: Simplify right side
    200,691.75x = 75,736,553,607.56
  5. Step 5: Solve for x
    x = 75,736,553,607.56/200,691.75
  6. Step 6: Final answer
    x = 377,377.51

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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.