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Finding the Third Proportional to 204,888 and 276,204

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Solution

The third proportional to 204,888 and 276,204 is: 372,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,888 : 276,204 = 276,204 : x
  2. Step 2: Convert to fraction form
    204,888/276,204 = 276,204/x
  3. Step 3: Cross multiply
    204,888x = 276,204 × 276,204
  4. Step 4: Simplify right side
    204,888x = 76,288,649,616
  5. Step 5: Solve for x
    x = 76,288,649,616/204,888
  6. Step 6: Final answer
    x = 372,343.18

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.