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Finding the Third Proportional to 126,740 and 272,198

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Solution

The third proportional to 126,740 and 272,198 is: 584,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,740 : 272,198 = 272,198 : x
  2. Step 2: Convert to fraction form
    126,740/272,198 = 272,198/x
  3. Step 3: Cross multiply
    126,740x = 272,198 × 272,198
  4. Step 4: Simplify right side
    126,740x = 74,091,751,204
  5. Step 5: Solve for x
    x = 74,091,751,204/126,740
  6. Step 6: Final answer
    x = 584,596.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.