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Finding the Third Proportional to 167,251 and 361,766

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Solution

The third proportional to 167,251 and 361,766 is: 782,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,251 : 361,766 = 361,766 : x
  2. Step 2: Convert to fraction form
    167,251/361,766 = 361,766/x
  3. Step 3: Cross multiply
    167,251x = 361,766 × 361,766
  4. Step 4: Simplify right side
    167,251x = 130,874,638,756
  5. Step 5: Solve for x
    x = 130,874,638,756/167,251
  6. Step 6: Final answer
    x = 782,504.37

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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.