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Finding the Third Proportional to 101,826 and 223,731

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Solution

The third proportional to 101,826 and 223,731 is: 491,579.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,826 : 223,731 = 223,731 : x
  2. Step 2: Convert to fraction form
    101,826/223,731 = 223,731/x
  3. Step 3: Cross multiply
    101,826x = 223,731 × 223,731
  4. Step 4: Simplify right side
    101,826x = 50,055,560,361
  5. Step 5: Solve for x
    x = 50,055,560,361/101,826
  6. Step 6: Final answer
    x = 491,579.36

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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.