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Finding the Third Proportional to 216.81 and 281.31

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Solution

The third proportional to 216.81 and 281.31 is: 365.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.81 : 281.31 = 281.31 : x
  2. Step 2: Convert to fraction form
    216.81/281.31 = 281.31/x
  3. Step 3: Cross multiply
    216.81x = 281.31 × 281.31
  4. Step 4: Simplify right side
    216.81x = 79,136.72
  5. Step 5: Solve for x
    x = 79,136.72/216.81
  6. Step 6: Final answer
    x = 365.00

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.