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Finding the Third Proportional to 101,828 and 223,728

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Solution

The third proportional to 101,828 and 223,728 is: 491,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,828 : 223,728 = 223,728 : x
  2. Step 2: Convert to fraction form
    101,828/223,728 = 223,728/x
  3. Step 3: Cross multiply
    101,828x = 223,728 × 223,728
  4. Step 4: Simplify right side
    101,828x = 50,054,217,984
  5. Step 5: Solve for x
    x = 50,054,217,984/101,828
  6. Step 6: Final answer
    x = 491,556.53

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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.