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Finding the Third Proportional to 198.49 and 424.97

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Solution

The third proportional to 198.49 and 424.97 is: 909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.49 : 424.97 = 424.97 : x
  2. Step 2: Convert to fraction form
    198.49/424.97 = 424.97/x
  3. Step 3: Cross multiply
    198.49x = 424.97 × 424.97
  4. Step 4: Simplify right side
    198.49x = 180,598.44
  5. Step 5: Solve for x
    x = 180,598.44/198.49
  6. Step 6: Final answer
    x = 909.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.