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Finding the Third Proportional to 184,940 and 398,794

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Solution

The third proportional to 184,940 and 398,794 is: 859,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,940 : 398,794 = 398,794 : x
  2. Step 2: Convert to fraction form
    184,940/398,794 = 398,794/x
  3. Step 3: Cross multiply
    184,940x = 398,794 × 398,794
  4. Step 4: Simplify right side
    184,940x = 159,036,654,436
  5. Step 5: Solve for x
    x = 159,036,654,436/184,940
  6. Step 6: Final answer
    x = 859,936.49

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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.