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Finding the Third Proportional to 273.75 and 384

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Solution

The third proportional to 273.75 and 384 is: 538.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.75 : 384 = 384 : x
  2. Step 2: Convert to fraction form
    273.75/384 = 384/x
  3. Step 3: Cross multiply
    273.75x = 384 × 384
  4. Step 4: Simplify right side
    273.75x = 147,456
  5. Step 5: Solve for x
    x = 147,456/273.75
  6. Step 6: Final answer
    x = 538.65

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