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Finding the Third Proportional to 95,794 and 223,741

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Solution

The third proportional to 95,794 and 223,741 is: 522,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,794 : 223,741 = 223,741 : x
  2. Step 2: Convert to fraction form
    95,794/223,741 = 223,741/x
  3. Step 3: Cross multiply
    95,794x = 223,741 × 223,741
  4. Step 4: Simplify right side
    95,794x = 50,060,035,081
  5. Step 5: Solve for x
    x = 50,060,035,081/95,794
  6. Step 6: Final answer
    x = 522,580.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.