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Finding the Third Proportional to 165,746.25 and 363,750.75

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Solution

The third proportional to 165,746.25 and 363,750.75 is: 798,296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,746.25 : 363,750.75 = 363,750.75 : x
  2. Step 2: Convert to fraction form
    165,746.25/363,750.75 = 363,750.75/x
  3. Step 3: Cross multiply
    165,746.25x = 363,750.75 × 363,750.75
  4. Step 4: Simplify right side
    165,746.25x = 132,314,608,125.56
  5. Step 5: Solve for x
    x = 132,314,608,125.56/165,746.25
  6. Step 6: Final answer
    x = 798,296.24

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