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Finding the Third Proportional to 80,493 and 174,824

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Solution

The third proportional to 80,493 and 174,824 is: 379,702.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,493 : 174,824 = 174,824 : x
  2. Step 2: Convert to fraction form
    80,493/174,824 = 174,824/x
  3. Step 3: Cross multiply
    80,493x = 174,824 × 174,824
  4. Step 4: Simplify right side
    80,493x = 30,563,430,976
  5. Step 5: Solve for x
    x = 30,563,430,976/80,493
  6. Step 6: Final answer
    x = 379,702.97

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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.