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Finding the Third Proportional to 174,976 and 263,131

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Solution

The third proportional to 174,976 and 263,131 is: 395,699.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,976 : 263,131 = 263,131 : x
  2. Step 2: Convert to fraction form
    174,976/263,131 = 263,131/x
  3. Step 3: Cross multiply
    174,976x = 263,131 × 263,131
  4. Step 4: Simplify right side
    174,976x = 69,237,923,161
  5. Step 5: Solve for x
    x = 69,237,923,161/174,976
  6. Step 6: Final answer
    x = 395,699.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.