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Finding the Third Proportional to 135.75 and 198.56

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Solution

The third proportional to 135.75 and 198.56 is: 290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.75 : 198.56 = 198.56 : x
  2. Step 2: Convert to fraction form
    135.75/198.56 = 198.56/x
  3. Step 3: Cross multiply
    135.75x = 198.56 × 198.56
  4. Step 4: Simplify right side
    135.75x = 39,427.07
  5. Step 5: Solve for x
    x = 39,427.07/135.75
  6. Step 6: Final answer
    x = 290.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.