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Finding the Third Proportional to 198.25 and 427.25

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Solution

The third proportional to 198.25 and 427.25 is: 920.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 427.25 = 427.25 : x
  2. Step 2: Convert to fraction form
    198.25/427.25 = 427.25/x
  3. Step 3: Cross multiply
    198.25x = 427.25 × 427.25
  4. Step 4: Simplify right side
    198.25x = 182,542.56
  5. Step 5: Solve for x
    x = 182,542.56/198.25
  6. Step 6: Final answer
    x = 920.77

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Why These Related Problems?

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