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Finding the Third Proportional to 143,874 and 225,219

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Solution

The third proportional to 143,874 and 225,219 is: 352,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,874 : 225,219 = 225,219 : x
  2. Step 2: Convert to fraction form
    143,874/225,219 = 225,219/x
  3. Step 3: Cross multiply
    143,874x = 225,219 × 225,219
  4. Step 4: Simplify right side
    143,874x = 50,723,597,961
  5. Step 5: Solve for x
    x = 50,723,597,961/143,874
  6. Step 6: Final answer
    x = 352,555.69

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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.