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Finding the Third Proportional to 184,586 and 263,958

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Solution

The third proportional to 184,586 and 263,958 is: 377,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,586 : 263,958 = 263,958 : x
  2. Step 2: Convert to fraction form
    184,586/263,958 = 263,958/x
  3. Step 3: Cross multiply
    184,586x = 263,958 × 263,958
  4. Step 4: Simplify right side
    184,586x = 69,673,825,764
  5. Step 5: Solve for x
    x = 69,673,825,764/184,586
  6. Step 6: Final answer
    x = 377,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.