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Finding the Third Proportional to 162 and 194

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Solution

The third proportional to 162 and 194 is: 232.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    162 : 194 = 194 : x
  2. Step 2: Convert to fraction form
    162/194 = 194/x
  3. Step 3: Cross multiply
    162x = 194 × 194
  4. Step 4: Simplify right side
    162x = 37,636
  5. Step 5: Solve for x
    x = 37,636/162
  6. Step 6: Final answer
    x = 232.32

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