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Finding the Third Proportional to 138.75 and 222

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Solution

The third proportional to 138.75 and 222 is: 355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.75 : 222 = 222 : x
  2. Step 2: Convert to fraction form
    138.75/222 = 222/x
  3. Step 3: Cross multiply
    138.75x = 222 × 222
  4. Step 4: Simplify right side
    138.75x = 49,284
  5. Step 5: Solve for x
    x = 49,284/138.75
  6. Step 6: Final answer
    x = 355.20

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