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Finding the Third Proportional to 144.94 and 190.22

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Solution

The third proportional to 144.94 and 190.22 is: 249.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 190.22 = 190.22 : x
  2. Step 2: Convert to fraction form
    144.94/190.22 = 190.22/x
  3. Step 3: Cross multiply
    144.94x = 190.22 × 190.22
  4. Step 4: Simplify right side
    144.94x = 36,183.17
  5. Step 5: Solve for x
    x = 36,183.17/144.94
  6. Step 6: Final answer
    x = 249.65

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.