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Finding the Third Proportional to 101,774 and 223,741

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Solution

The third proportional to 101,774 and 223,741 is: 491,874.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,774 : 223,741 = 223,741 : x
  2. Step 2: Convert to fraction form
    101,774/223,741 = 223,741/x
  3. Step 3: Cross multiply
    101,774x = 223,741 × 223,741
  4. Step 4: Simplify right side
    101,774x = 50,060,035,081
  5. Step 5: Solve for x
    x = 50,060,035,081/101,774
  6. Step 6: Final answer
    x = 491,874.50

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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.