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Finding the Third Proportional to 83,786 and 180,694

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Solution

The third proportional to 83,786 and 180,694 is: 389,687.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,786 : 180,694 = 180,694 : x
  2. Step 2: Convert to fraction form
    83,786/180,694 = 180,694/x
  3. Step 3: Cross multiply
    83,786x = 180,694 × 180,694
  4. Step 4: Simplify right side
    83,786x = 32,650,321,636
  5. Step 5: Solve for x
    x = 32,650,321,636/83,786
  6. Step 6: Final answer
    x = 389,687.08

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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.