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Finding the Third Proportional to 184,761 and 398,013

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Solution

The third proportional to 184,761 and 398,013 is: 857,401.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,761 : 398,013 = 398,013 : x
  2. Step 2: Convert to fraction form
    184,761/398,013 = 398,013/x
  3. Step 3: Cross multiply
    184,761x = 398,013 × 398,013
  4. Step 4: Simplify right side
    184,761x = 158,414,348,169
  5. Step 5: Solve for x
    x = 158,414,348,169/184,761
  6. Step 6: Final answer
    x = 857,401.44

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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.