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Finding the Third Proportional to 187,990 and 271,616

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Solution

The third proportional to 187,990 and 271,616 is: 392,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,990 : 271,616 = 271,616 : x
  2. Step 2: Convert to fraction form
    187,990/271,616 = 271,616/x
  3. Step 3: Cross multiply
    187,990x = 271,616 × 271,616
  4. Step 4: Simplify right side
    187,990x = 73,775,251,456
  5. Step 5: Solve for x
    x = 73,775,251,456/187,990
  6. Step 6: Final answer
    x = 392,442.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.