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Finding the Third Proportional to 190.31 and 410.81

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Solution

The third proportional to 190.31 and 410.81 is: 886.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.31 : 410.81 = 410.81 : x
  2. Step 2: Convert to fraction form
    190.31/410.81 = 410.81/x
  3. Step 3: Cross multiply
    190.31x = 410.81 × 410.81
  4. Step 4: Simplify right side
    190.31x = 168,766.91
  5. Step 5: Solve for x
    x = 168,766.91/190.31
  6. Step 6: Final answer
    x = 886.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.