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Finding the Third Proportional to 167,001 and 339,834

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Solution

The third proportional to 167,001 and 339,834 is: 691,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,001 : 339,834 = 339,834 : x
  2. Step 2: Convert to fraction form
    167,001/339,834 = 339,834/x
  3. Step 3: Cross multiply
    167,001x = 339,834 × 339,834
  4. Step 4: Simplify right side
    167,001x = 115,487,147,556
  5. Step 5: Solve for x
    x = 115,487,147,556/167,001
  6. Step 6: Final answer
    x = 691,535.66

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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.