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Finding the Third Proportional to 226,692 and 475,147.69

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Solution

The third proportional to 226,692 and 475,147.69 is: 995,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,692 : 475,147.69 = 475,147.69 : x
  2. Step 2: Convert to fraction form
    226,692/475,147.69 = 475,147.69/x
  3. Step 3: Cross multiply
    226,692x = 475,147.69 × 475,147.69
  4. Step 4: Simplify right side
    226,692x = 225,765,324,936.60
  5. Step 5: Solve for x
    x = 225,765,324,936.60/226,692
  6. Step 6: Final answer
    x = 995,912.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.