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Finding the Third Proportional to 184,555 and 397,917

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Solution

The third proportional to 184,555 and 397,917 is: 857,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,555 : 397,917 = 397,917 : x
  2. Step 2: Convert to fraction form
    184,555/397,917 = 397,917/x
  3. Step 3: Cross multiply
    184,555x = 397,917 × 397,917
  4. Step 4: Simplify right side
    184,555x = 158,337,938,889
  5. Step 5: Solve for x
    x = 158,337,938,889/184,555
  6. Step 6: Final answer
    x = 857,944.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.