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Finding the Third Proportional to 184,689 and 397,626

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Solution

The third proportional to 184,689 and 397,626 is: 856,068.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,689 : 397,626 = 397,626 : x
  2. Step 2: Convert to fraction form
    184,689/397,626 = 397,626/x
  3. Step 3: Cross multiply
    184,689x = 397,626 × 397,626
  4. Step 4: Simplify right side
    184,689x = 158,106,435,876
  5. Step 5: Solve for x
    x = 158,106,435,876/184,689
  6. Step 6: Final answer
    x = 856,068.50

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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.