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Finding the Third Proportional to 80,360 and 174,734

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Solution

The third proportional to 80,360 and 174,734 is: 379,939.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,360 : 174,734 = 174,734 : x
  2. Step 2: Convert to fraction form
    80,360/174,734 = 174,734/x
  3. Step 3: Cross multiply
    80,360x = 174,734 × 174,734
  4. Step 4: Simplify right side
    80,360x = 30,531,970,756
  5. Step 5: Solve for x
    x = 30,531,970,756/80,360
  6. Step 6: Final answer
    x = 379,939.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.