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Finding the Third Proportional to 167,841 and 365,195

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Solution

The third proportional to 167,841 and 365,195 is: 794,605.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,841 : 365,195 = 365,195 : x
  2. Step 2: Convert to fraction form
    167,841/365,195 = 365,195/x
  3. Step 3: Cross multiply
    167,841x = 365,195 × 365,195
  4. Step 4: Simplify right side
    167,841x = 133,367,388,025
  5. Step 5: Solve for x
    x = 133,367,388,025/167,841
  6. Step 6: Final answer
    x = 794,605.54

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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.