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Finding the Third Proportional to 197,269 and 279,131

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Solution

The third proportional to 197,269 and 279,131 is: 394,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,269 : 279,131 = 279,131 : x
  2. Step 2: Convert to fraction form
    197,269/279,131 = 279,131/x
  3. Step 3: Cross multiply
    197,269x = 279,131 × 279,131
  4. Step 4: Simplify right side
    197,269x = 77,914,115,161
  5. Step 5: Solve for x
    x = 77,914,115,161/197,269
  6. Step 6: Final answer
    x = 394,963.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.