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Finding the Third Proportional to 200,711.25 and 275,219.44

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Solution

The third proportional to 200,711.25 and 275,219.44 is: 377,386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,711.25 : 275,219.44 = 275,219.44 : x
  2. Step 2: Convert to fraction form
    200,711.25/275,219.44 = 275,219.44/x
  3. Step 3: Cross multiply
    200,711.25x = 275,219.44 × 275,219.44
  4. Step 4: Simplify right side
    200,711.25x = 75,745,738,777.82
  5. Step 5: Solve for x
    x = 75,745,738,777.82/200,711.25
  6. Step 6: Final answer
    x = 377,386.61

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Why These Related Problems?

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