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Finding the Third Proportional to 190.69 and 281.72

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Solution

The third proportional to 190.69 and 281.72 is: 416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.69 : 281.72 = 281.72 : x
  2. Step 2: Convert to fraction form
    190.69/281.72 = 281.72/x
  3. Step 3: Cross multiply
    190.69x = 281.72 × 281.72
  4. Step 4: Simplify right side
    190.69x = 79,365.45
  5. Step 5: Solve for x
    x = 79,365.45/190.69
  6. Step 6: Final answer
    x = 416.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.