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Finding the Third Proportional to 102.75 and 224

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Solution

The third proportional to 102.75 and 224 is: 488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.75 : 224 = 224 : x
  2. Step 2: Convert to fraction form
    102.75/224 = 224/x
  3. Step 3: Cross multiply
    102.75x = 224 × 224
  4. Step 4: Simplify right side
    102.75x = 50,176
  5. Step 5: Solve for x
    x = 50,176/102.75
  6. Step 6: Final answer
    x = 488.33

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