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Finding the Third Proportional to 167,616 and 340,092

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Solution

The third proportional to 167,616 and 340,092 is: 690,044.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,616 : 340,092 = 340,092 : x
  2. Step 2: Convert to fraction form
    167,616/340,092 = 340,092/x
  3. Step 3: Cross multiply
    167,616x = 340,092 × 340,092
  4. Step 4: Simplify right side
    167,616x = 115,662,568,464
  5. Step 5: Solve for x
    x = 115,662,568,464/167,616
  6. Step 6: Final answer
    x = 690,044.91

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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.