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Finding the Third Proportional to 200,976 and 276,849

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Solution

The third proportional to 200,976 and 276,849 is: 381,365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976 : 276,849 = 276,849 : x
  2. Step 2: Convert to fraction form
    200,976/276,849 = 276,849/x
  3. Step 3: Cross multiply
    200,976x = 276,849 × 276,849
  4. Step 4: Simplify right side
    200,976x = 76,645,368,801
  5. Step 5: Solve for x
    x = 76,645,368,801/200,976
  6. Step 6: Final answer
    x = 381,365.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.