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Finding the Third Proportional to 196,162 and 415,867

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Solution

The third proportional to 196,162 and 415,867 is: 881,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,162 : 415,867 = 415,867 : x
  2. Step 2: Convert to fraction form
    196,162/415,867 = 415,867/x
  3. Step 3: Cross multiply
    196,162x = 415,867 × 415,867
  4. Step 4: Simplify right side
    196,162x = 172,945,361,689
  5. Step 5: Solve for x
    x = 172,945,361,689/196,162
  6. Step 6: Final answer
    x = 881,645.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.