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Finding the Third Proportional to 180,992 and 397,676

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Solution

The third proportional to 180,992 and 397,676 is: 873,774.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,992 : 397,676 = 397,676 : x
  2. Step 2: Convert to fraction form
    180,992/397,676 = 397,676/x
  3. Step 3: Cross multiply
    180,992x = 397,676 × 397,676
  4. Step 4: Simplify right side
    180,992x = 158,146,200,976
  5. Step 5: Solve for x
    x = 158,146,200,976/180,992
  6. Step 6: Final answer
    x = 873,774.54

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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.