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Finding the Third Proportional to 83,243 and 181,269

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Solution

The third proportional to 83,243 and 181,269 is: 394,729.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,243 : 181,269 = 181,269 : x
  2. Step 2: Convert to fraction form
    83,243/181,269 = 181,269/x
  3. Step 3: Cross multiply
    83,243x = 181,269 × 181,269
  4. Step 4: Simplify right side
    83,243x = 32,858,450,361
  5. Step 5: Solve for x
    x = 32,858,450,361/83,243
  6. Step 6: Final answer
    x = 394,729.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.