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Finding the Third Proportional to 180,885 and 397,856

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Solution

The third proportional to 180,885 and 397,856 is: 875,083.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,885 : 397,856 = 397,856 : x
  2. Step 2: Convert to fraction form
    180,885/397,856 = 397,856/x
  3. Step 3: Cross multiply
    180,885x = 397,856 × 397,856
  4. Step 4: Simplify right side
    180,885x = 158,289,396,736
  5. Step 5: Solve for x
    x = 158,289,396,736/180,885
  6. Step 6: Final answer
    x = 875,083.05

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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.