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Finding the Third Proportional to 198.22 and 428.88

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Solution

The third proportional to 198.22 and 428.88 is: 927.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.22 : 428.88 = 428.88 : x
  2. Step 2: Convert to fraction form
    198.22/428.88 = 428.88/x
  3. Step 3: Cross multiply
    198.22x = 428.88 × 428.88
  4. Step 4: Simplify right side
    198.22x = 183,941.25
  5. Step 5: Solve for x
    x = 183,941.25/198.22
  6. Step 6: Final answer
    x = 927.95

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.