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Finding the Third Proportional to 126,233 and 274,610

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Solution

The third proportional to 126,233 and 274,610 is: 597,392.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,233 : 274,610 = 274,610 : x
  2. Step 2: Convert to fraction form
    126,233/274,610 = 274,610/x
  3. Step 3: Cross multiply
    126,233x = 274,610 × 274,610
  4. Step 4: Simplify right side
    126,233x = 75,410,652,100
  5. Step 5: Solve for x
    x = 75,410,652,100/126,233
  6. Step 6: Final answer
    x = 597,392.54

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.