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Finding the Third Proportional to 198,491 and 468,183

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Solution

The third proportional to 198,491 and 468,183 is: 1,104,308.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,491 : 468,183 = 468,183 : x
  2. Step 2: Convert to fraction form
    198,491/468,183 = 468,183/x
  3. Step 3: Cross multiply
    198,491x = 468,183 × 468,183
  4. Step 4: Simplify right side
    198,491x = 219,195,321,489
  5. Step 5: Solve for x
    x = 219,195,321,489/198,491
  6. Step 6: Final answer
    x = 1,104,308.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.