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Finding the Third Proportional to 80,824 and 177,524

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Solution

The third proportional to 80,824 and 177,524 is: 389,918.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,824 : 177,524 = 177,524 : x
  2. Step 2: Convert to fraction form
    80,824/177,524 = 177,524/x
  3. Step 3: Cross multiply
    80,824x = 177,524 × 177,524
  4. Step 4: Simplify right side
    80,824x = 31,514,770,576
  5. Step 5: Solve for x
    x = 31,514,770,576/80,824
  6. Step 6: Final answer
    x = 389,918.47

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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.