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Finding the Third Proportional to 167,338 and 367,739

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Solution

The third proportional to 167,338 and 367,739 is: 808,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,338 : 367,739 = 367,739 : x
  2. Step 2: Convert to fraction form
    167,338/367,739 = 367,739/x
  3. Step 3: Cross multiply
    167,338x = 367,739 × 367,739
  4. Step 4: Simplify right side
    167,338x = 135,231,972,121
  5. Step 5: Solve for x
    x = 135,231,972,121/167,338
  6. Step 6: Final answer
    x = 808,136.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.