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Finding the Third Proportional to 110,843 and 229,568

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Solution

The third proportional to 110,843 and 229,568 is: 475,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,843 : 229,568 = 229,568 : x
  2. Step 2: Convert to fraction form
    110,843/229,568 = 229,568/x
  3. Step 3: Cross multiply
    110,843x = 229,568 × 229,568
  4. Step 4: Simplify right side
    110,843x = 52,701,466,624
  5. Step 5: Solve for x
    x = 52,701,466,624/110,843
  6. Step 6: Final answer
    x = 475,460.49

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.