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Finding the Third Proportional to 177,368.50 and 260,865.75

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Solution

The third proportional to 177,368.50 and 260,865.75 is: 383,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,368.50 : 260,865.75 = 260,865.75 : x
  2. Step 2: Convert to fraction form
    177,368.50/260,865.75 = 260,865.75/x
  3. Step 3: Cross multiply
    177,368.50x = 260,865.75 × 260,865.75
  4. Step 4: Simplify right side
    177,368.50x = 68,050,939,523.06
  5. Step 5: Solve for x
    x = 68,050,939,523.06/177,368.50
  6. Step 6: Final answer
    x = 383,669.81

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