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Finding the Third Proportional to 145.75 and 198.44

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Solution

The third proportional to 145.75 and 198.44 is: 270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.75 : 198.44 = 198.44 : x
  2. Step 2: Convert to fraction form
    145.75/198.44 = 198.44/x
  3. Step 3: Cross multiply
    145.75x = 198.44 × 198.44
  4. Step 4: Simplify right side
    145.75x = 39,377.44
  5. Step 5: Solve for x
    x = 39,377.44/145.75
  6. Step 6: Final answer
    x = 270.17

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.