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Finding the Third Proportional to 101,837 and 223,734

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Solution

The third proportional to 101,837 and 223,734 is: 491,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,837 : 223,734 = 223,734 : x
  2. Step 2: Convert to fraction form
    101,837/223,734 = 223,734/x
  3. Step 3: Cross multiply
    101,837x = 223,734 × 223,734
  4. Step 4: Simplify right side
    101,837x = 50,056,902,756
  5. Step 5: Solve for x
    x = 50,056,902,756/101,837
  6. Step 6: Final answer
    x = 491,539.45

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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.