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Finding the Third Proportional to 204,972 and 261,906

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Solution

The third proportional to 204,972 and 261,906 is: 334,654.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,972 : 261,906 = 261,906 : x
  2. Step 2: Convert to fraction form
    204,972/261,906 = 261,906/x
  3. Step 3: Cross multiply
    204,972x = 261,906 × 261,906
  4. Step 4: Simplify right side
    204,972x = 68,594,752,836
  5. Step 5: Solve for x
    x = 68,594,752,836/204,972
  6. Step 6: Final answer
    x = 334,654.26

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.