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Finding the Third Proportional to 80,395 and 179,824

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Solution

The third proportional to 80,395 and 179,824 is: 402,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,395 : 179,824 = 179,824 : x
  2. Step 2: Convert to fraction form
    80,395/179,824 = 179,824/x
  3. Step 3: Cross multiply
    80,395x = 179,824 × 179,824
  4. Step 4: Simplify right side
    80,395x = 32,336,670,976
  5. Step 5: Solve for x
    x = 32,336,670,976/80,395
  6. Step 6: Final answer
    x = 402,222.41

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.