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Finding the Third Proportional to 80,522 and 176,976

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Solution

The third proportional to 80,522 and 176,976 is: 388,968.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,522 : 176,976 = 176,976 : x
  2. Step 2: Convert to fraction form
    80,522/176,976 = 176,976/x
  3. Step 3: Cross multiply
    80,522x = 176,976 × 176,976
  4. Step 4: Simplify right side
    80,522x = 31,320,504,576
  5. Step 5: Solve for x
    x = 31,320,504,576/80,522
  6. Step 6: Final answer
    x = 388,968.29

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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.