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Finding the Third Proportional to 174,904 and 263,832

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Solution

The third proportional to 174,904 and 263,832 is: 397,974.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,904 : 263,832 = 263,832 : x
  2. Step 2: Convert to fraction form
    174,904/263,832 = 263,832/x
  3. Step 3: Cross multiply
    174,904x = 263,832 × 263,832
  4. Step 4: Simplify right side
    174,904x = 69,607,324,224
  5. Step 5: Solve for x
    x = 69,607,324,224/174,904
  6. Step 6: Final answer
    x = 397,974.46

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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.