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Finding the Third Proportional to 236.72 and 333.09

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Solution

The third proportional to 236.72 and 333.09 is: 468.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.72 : 333.09 = 333.09 : x
  2. Step 2: Convert to fraction form
    236.72/333.09 = 333.09/x
  3. Step 3: Cross multiply
    236.72x = 333.09 × 333.09
  4. Step 4: Simplify right side
    236.72x = 110,951.45
  5. Step 5: Solve for x
    x = 110,951.45/236.72
  6. Step 6: Final answer
    x = 468.71

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.