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Finding the Third Proportional to 255,971.75 and 344,588.75

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Solution

The third proportional to 255,971.75 and 344,588.75 is: 463,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,971.75 : 344,588.75 = 344,588.75 : x
  2. Step 2: Convert to fraction form
    255,971.75/344,588.75 = 344,588.75/x
  3. Step 3: Cross multiply
    255,971.75x = 344,588.75 × 344,588.75
  4. Step 4: Simplify right side
    255,971.75x = 118,741,406,626.56
  5. Step 5: Solve for x
    x = 118,741,406,626.56/255,971.75
  6. Step 6: Final answer
    x = 463,884.81

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