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Finding the Third Proportional to 126,224 and 270,183

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Solution

The third proportional to 126,224 and 270,183 is: 578,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,224 : 270,183 = 270,183 : x
  2. Step 2: Convert to fraction form
    126,224/270,183 = 270,183/x
  3. Step 3: Cross multiply
    126,224x = 270,183 × 270,183
  4. Step 4: Simplify right side
    126,224x = 72,998,853,489
  5. Step 5: Solve for x
    x = 72,998,853,489/126,224
  6. Step 6: Final answer
    x = 578,327.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.