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Finding the Third Proportional to 330 and 381.75

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Solution

The third proportional to 330 and 381.75 is: 441.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 381.75 = 381.75 : x
  2. Step 2: Convert to fraction form
    330/381.75 = 381.75/x
  3. Step 3: Cross multiply
    330x = 381.75 × 381.75
  4. Step 4: Simplify right side
    330x = 145,733.06
  5. Step 5: Solve for x
    x = 145,733.06/330
  6. Step 6: Final answer
    x = 441.62

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