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Finding the Third Proportional to 81,698 and 179,504

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Solution

The third proportional to 81,698 and 179,504 is: 394,399.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698 : 179,504 = 179,504 : x
  2. Step 2: Convert to fraction form
    81,698/179,504 = 179,504/x
  3. Step 3: Cross multiply
    81,698x = 179,504 × 179,504
  4. Step 4: Simplify right side
    81,698x = 32,221,686,016
  5. Step 5: Solve for x
    x = 32,221,686,016/81,698
  6. Step 6: Final answer
    x = 394,399.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.