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Finding the Third Proportional to 198.38 and 434.88

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Solution

The third proportional to 198.38 and 434.88 is: 953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.38 : 434.88 = 434.88 : x
  2. Step 2: Convert to fraction form
    198.38/434.88 = 434.88/x
  3. Step 3: Cross multiply
    198.38x = 434.88 × 434.88
  4. Step 4: Simplify right side
    198.38x = 189,116.27
  5. Step 5: Solve for x
    x = 189,116.27/198.38
  6. Step 6: Final answer
    x = 953.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.