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Finding the Third Proportional to 89,676 and 197,334

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Solution

The third proportional to 89,676 and 197,334 is: 434,237.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676 : 197,334 = 197,334 : x
  2. Step 2: Convert to fraction form
    89,676/197,334 = 197,334/x
  3. Step 3: Cross multiply
    89,676x = 197,334 × 197,334
  4. Step 4: Simplify right side
    89,676x = 38,940,707,556
  5. Step 5: Solve for x
    x = 38,940,707,556/89,676
  6. Step 6: Final answer
    x = 434,237.78

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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.