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Finding the Third Proportional to 198.28 and 419.34

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Solution

The third proportional to 198.28 and 419.34 is: 886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.28 : 419.34 = 419.34 : x
  2. Step 2: Convert to fraction form
    198.28/419.34 = 419.34/x
  3. Step 3: Cross multiply
    198.28x = 419.34 × 419.34
  4. Step 4: Simplify right side
    198.28x = 175,849.18
  5. Step 5: Solve for x
    x = 175,849.18/198.28
  6. Step 6: Final answer
    x = 886.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.