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Finding the Third Proportional to 254,112.75 and 338,770.97

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Solution

The third proportional to 254,112.75 and 338,770.97 is: 451,633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,112.75 : 338,770.97 = 338,770.97 : x
  2. Step 2: Convert to fraction form
    254,112.75/338,770.97 = 338,770.97/x
  3. Step 3: Cross multiply
    254,112.75x = 338,770.97 × 338,770.97
  4. Step 4: Simplify right side
    254,112.75x = 114,765,769,267.81
  5. Step 5: Solve for x
    x = 114,765,769,267.81/254,112.75
  6. Step 6: Final answer
    x = 451,633.26

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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.