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Finding the Third Proportional to 135,838 and 298,568

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Solution

The third proportional to 135,838 and 298,568 is: 656,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,838 : 298,568 = 298,568 : x
  2. Step 2: Convert to fraction form
    135,838/298,568 = 298,568/x
  3. Step 3: Cross multiply
    135,838x = 298,568 × 298,568
  4. Step 4: Simplify right side
    135,838x = 89,142,850,624
  5. Step 5: Solve for x
    x = 89,142,850,624/135,838
  6. Step 6: Final answer
    x = 656,243.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.