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Finding the Third Proportional to 83,244 and 179,790

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Solution

The third proportional to 83,244 and 179,790 is: 388,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,244 : 179,790 = 179,790 : x
  2. Step 2: Convert to fraction form
    83,244/179,790 = 179,790/x
  3. Step 3: Cross multiply
    83,244x = 179,790 × 179,790
  4. Step 4: Simplify right side
    83,244x = 32,324,444,100
  5. Step 5: Solve for x
    x = 32,324,444,100/83,244
  6. Step 6: Final answer
    x = 388,309.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.