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Finding the Third Proportional to 167,843 and 365,199

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Solution

The third proportional to 167,843 and 365,199 is: 794,613.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,843 : 365,199 = 365,199 : x
  2. Step 2: Convert to fraction form
    167,843/365,199 = 365,199/x
  3. Step 3: Cross multiply
    167,843x = 365,199 × 365,199
  4. Step 4: Simplify right side
    167,843x = 133,370,309,601
  5. Step 5: Solve for x
    x = 133,370,309,601/167,843
  6. Step 6: Final answer
    x = 794,613.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.