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Finding the Third Proportional to 143,933 and 225,761

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Solution

The third proportional to 143,933 and 225,761 is: 354,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,933 : 225,761 = 225,761 : x
  2. Step 2: Convert to fraction form
    143,933/225,761 = 225,761/x
  3. Step 3: Cross multiply
    143,933x = 225,761 × 225,761
  4. Step 4: Simplify right side
    143,933x = 50,968,029,121
  5. Step 5: Solve for x
    x = 50,968,029,121/143,933
  6. Step 6: Final answer
    x = 354,109.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.