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Finding the Third Proportional to 184,611 and 397,302

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Solution

The third proportional to 184,611 and 397,302 is: 855,035.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,611 : 397,302 = 397,302 : x
  2. Step 2: Convert to fraction form
    184,611/397,302 = 397,302/x
  3. Step 3: Cross multiply
    184,611x = 397,302 × 397,302
  4. Step 4: Simplify right side
    184,611x = 157,848,879,204
  5. Step 5: Solve for x
    x = 157,848,879,204/184,611
  6. Step 6: Final answer
    x = 855,035.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.