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Finding the Third Proportional to 126,849 and 273,318

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Solution

The third proportional to 126,849 and 273,318 is: 588,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,849 : 273,318 = 273,318 : x
  2. Step 2: Convert to fraction form
    126,849/273,318 = 273,318/x
  3. Step 3: Cross multiply
    126,849x = 273,318 × 273,318
  4. Step 4: Simplify right side
    126,849x = 74,702,729,124
  5. Step 5: Solve for x
    x = 74,702,729,124/126,849
  6. Step 6: Final answer
    x = 588,910.67

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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.