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Finding the Third Proportional to 167,656 and 363,885

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Solution

The third proportional to 167,656 and 363,885 is: 789,785.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,656 : 363,885 = 363,885 : x
  2. Step 2: Convert to fraction form
    167,656/363,885 = 363,885/x
  3. Step 3: Cross multiply
    167,656x = 363,885 × 363,885
  4. Step 4: Simplify right side
    167,656x = 132,412,293,225
  5. Step 5: Solve for x
    x = 132,412,293,225/167,656
  6. Step 6: Final answer
    x = 789,785.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.