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Finding the Third Proportional to 167,530 and 361,302

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Solution

The third proportional to 167,530 and 361,302 is: 779,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,530 : 361,302 = 361,302 : x
  2. Step 2: Convert to fraction form
    167,530/361,302 = 361,302/x
  3. Step 3: Cross multiply
    167,530x = 361,302 × 361,302
  4. Step 4: Simplify right side
    167,530x = 130,539,135,204
  5. Step 5: Solve for x
    x = 130,539,135,204/167,530
  6. Step 6: Final answer
    x = 779,198.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.