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Finding the Third Proportional to 190.69 and 251.22

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Solution

The third proportional to 190.69 and 251.22 is: 330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 251.22 = 251.22 : x
  2. Step 2: Convert to fraction form
    190.69/251.22 = 251.22/x
  3. Step 3: Cross multiply
    190.69x = 251.22 × 251.22
  4. Step 4: Simplify right side
    190.69x = 63,110.86
  5. Step 5: Solve for x
    x = 63,110.86/190.69
  6. Step 6: Final answer
    x = 330.96

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.