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Finding the Third Proportional to 166,997 and 339,824

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Solution

The third proportional to 166,997 and 339,824 is: 691,511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,997 : 339,824 = 339,824 : x
  2. Step 2: Convert to fraction form
    166,997/339,824 = 339,824/x
  3. Step 3: Cross multiply
    166,997x = 339,824 × 339,824
  4. Step 4: Simplify right side
    166,997x = 115,480,350,976
  5. Step 5: Solve for x
    x = 115,480,350,976/166,997
  6. Step 6: Final answer
    x = 691,511.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.