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Finding the Third Proportional to 200,722 and 275,233

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Solution

The third proportional to 200,722 and 275,233 is: 377,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,722 : 275,233 = 275,233 : x
  2. Step 2: Convert to fraction form
    200,722/275,233 = 275,233/x
  3. Step 3: Cross multiply
    200,722x = 275,233 × 275,233
  4. Step 4: Simplify right side
    200,722x = 75,753,204,289
  5. Step 5: Solve for x
    x = 75,753,204,289/200,722
  6. Step 6: Final answer
    x = 377,403.59

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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.