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Finding the Third Proportional to 184,698 and 397,647

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Solution

The third proportional to 184,698 and 397,647 is: 856,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,698 : 397,647 = 397,647 : x
  2. Step 2: Convert to fraction form
    184,698/397,647 = 397,647/x
  3. Step 3: Cross multiply
    184,698x = 397,647 × 397,647
  4. Step 4: Simplify right side
    184,698x = 158,123,136,609
  5. Step 5: Solve for x
    x = 158,123,136,609/184,698
  6. Step 6: Final answer
    x = 856,117.21

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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.