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Finding the Third Proportional to 184,696 and 398,920

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Solution

The third proportional to 184,696 and 398,920 is: 861,616.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,696 : 398,920 = 398,920 : x
  2. Step 2: Convert to fraction form
    184,696/398,920 = 398,920/x
  3. Step 3: Cross multiply
    184,696x = 398,920 × 398,920
  4. Step 4: Simplify right side
    184,696x = 159,137,166,400
  5. Step 5: Solve for x
    x = 159,137,166,400/184,696
  6. Step 6: Final answer
    x = 861,616.75

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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.