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Finding the Third Proportional to 258.75 and 300

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Solution

The third proportional to 258.75 and 300 is: 347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.75 : 300 = 300 : x
  2. Step 2: Convert to fraction form
    258.75/300 = 300/x
  3. Step 3: Cross multiply
    258.75x = 300 × 300
  4. Step 4: Simplify right side
    258.75x = 90,000
  5. Step 5: Solve for x
    x = 90,000/258.75
  6. Step 6: Final answer
    x = 347.83

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