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Finding the Third Proportional to 334 and 381

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Solution

The third proportional to 334 and 381 is: 434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 381 = 381 : x
  2. Step 2: Convert to fraction form
    334/381 = 381/x
  3. Step 3: Cross multiply
    334x = 381 × 381
  4. Step 4: Simplify right side
    334x = 145,161
  5. Step 5: Solve for x
    x = 145,161/334
  6. Step 6: Final answer
    x = 434.61

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