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Finding the Third Proportional to 146 and 160.50

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Solution

The third proportional to 146 and 160.50 is: 176.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146 : 160.50 = 160.50 : x
  2. Step 2: Convert to fraction form
    146/160.50 = 160.50/x
  3. Step 3: Cross multiply
    146x = 160.50 × 160.50
  4. Step 4: Simplify right side
    146x = 25,760.25
  5. Step 5: Solve for x
    x = 25,760.25/146
  6. Step 6: Final answer
    x = 176.44

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