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Finding the Third Proportional to 207,904 and 271,874

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Solution

The third proportional to 207,904 and 271,874 is: 355,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904 : 271,874 = 271,874 : x
  2. Step 2: Convert to fraction form
    207,904/271,874 = 271,874/x
  3. Step 3: Cross multiply
    207,904x = 271,874 × 271,874
  4. Step 4: Simplify right side
    207,904x = 73,915,471,876
  5. Step 5: Solve for x
    x = 73,915,471,876/207,904
  6. Step 6: Final answer
    x = 355,526.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.