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Finding the Third Proportional to 166,997 and 339,827

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Solution

The third proportional to 166,997 and 339,827 is: 691,523.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,997 : 339,827 = 339,827 : x
  2. Step 2: Convert to fraction form
    166,997/339,827 = 339,827/x
  3. Step 3: Cross multiply
    166,997x = 339,827 × 339,827
  4. Step 4: Simplify right side
    166,997x = 115,482,389,929
  5. Step 5: Solve for x
    x = 115,482,389,929/166,997
  6. Step 6: Final answer
    x = 691,523.74

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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.