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Finding the Third Proportional to 254,168 and 338,850

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Solution

The third proportional to 254,168 and 338,850 is: 451,745.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,168 : 338,850 = 338,850 : x
  2. Step 2: Convert to fraction form
    254,168/338,850 = 338,850/x
  3. Step 3: Cross multiply
    254,168x = 338,850 × 338,850
  4. Step 4: Simplify right side
    254,168x = 114,819,322,500
  5. Step 5: Solve for x
    x = 114,819,322,500/254,168
  6. Step 6: Final answer
    x = 451,745.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.