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Finding the Third Proportional to 215.16 and 333.49

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Solution

The third proportional to 215.16 and 333.49 is: 516.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.16 : 333.49 = 333.49 : x
  2. Step 2: Convert to fraction form
    215.16/333.49 = 333.49/x
  3. Step 3: Cross multiply
    215.16x = 333.49 × 333.49
  4. Step 4: Simplify right side
    215.16x = 111,217.04
  5. Step 5: Solve for x
    x = 111,217.04/215.16
  6. Step 6: Final answer
    x = 516.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.