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Finding the Third Proportional to 174 and 255

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Solution

The third proportional to 174 and 255 is: 373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    174 : 255 = 255 : x
  2. Step 2: Convert to fraction form
    174/255 = 255/x
  3. Step 3: Cross multiply
    174x = 255 × 255
  4. Step 4: Simplify right side
    174x = 65,025
  5. Step 5: Solve for x
    x = 65,025/174
  6. Step 6: Final answer
    x = 373.71

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