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Finding the Third Proportional to 165,927.75 and 257,356.50

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Solution

The third proportional to 165,927.75 and 257,356.50 is: 399,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,927.75 : 257,356.50 = 257,356.50 : x
  2. Step 2: Convert to fraction form
    165,927.75/257,356.50 = 257,356.50/x
  3. Step 3: Cross multiply
    165,927.75x = 257,356.50 × 257,356.50
  4. Step 4: Simplify right side
    165,927.75x = 66,232,368,092.25
  5. Step 5: Solve for x
    x = 66,232,368,092.25/165,927.75
  6. Step 6: Final answer
    x = 399,163.90

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