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Finding the Third Proportional to 255 and 368.25

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Solution

The third proportional to 255 and 368.25 is: 531.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255 : 368.25 = 368.25 : x
  2. Step 2: Convert to fraction form
    255/368.25 = 368.25/x
  3. Step 3: Cross multiply
    255x = 368.25 × 368.25
  4. Step 4: Simplify right side
    255x = 135,608.06
  5. Step 5: Solve for x
    x = 135,608.06/255
  6. Step 6: Final answer
    x = 531.80

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