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Finding the Third Proportional to 80,180 and 175,399

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Solution

The third proportional to 80,180 and 175,399 is: 383,696.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,180 : 175,399 = 175,399 : x
  2. Step 2: Convert to fraction form
    80,180/175,399 = 175,399/x
  3. Step 3: Cross multiply
    80,180x = 175,399 × 175,399
  4. Step 4: Simplify right side
    80,180x = 30,764,809,201
  5. Step 5: Solve for x
    x = 30,764,809,201/80,180
  6. Step 6: Final answer
    x = 383,696.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.