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Finding the Third Proportional to 174,702 and 263,493

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Solution

The third proportional to 174,702 and 263,493 is: 397,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,702 : 263,493 = 263,493 : x
  2. Step 2: Convert to fraction form
    174,702/263,493 = 263,493/x
  3. Step 3: Cross multiply
    174,702x = 263,493 × 263,493
  4. Step 4: Simplify right side
    174,702x = 69,428,561,049
  5. Step 5: Solve for x
    x = 69,428,561,049/174,702
  6. Step 6: Final answer
    x = 397,411.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.