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Finding the Third Proportional to 166,758.75 and 257,944.50

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Solution

The third proportional to 166,758.75 and 257,944.50 is: 398,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,758.75 : 257,944.50 = 257,944.50 : x
  2. Step 2: Convert to fraction form
    166,758.75/257,944.50 = 257,944.50/x
  3. Step 3: Cross multiply
    166,758.75x = 257,944.50 × 257,944.50
  4. Step 4: Simplify right side
    166,758.75x = 66,535,365,080.25
  5. Step 5: Solve for x
    x = 66,535,365,080.25/166,758.75
  6. Step 6: Final answer
    x = 398,991.75

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