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Finding the Third Proportional to 184,976 and 398,008

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Solution

The third proportional to 184,976 and 398,008 is: 856,383.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,976 : 398,008 = 398,008 : x
  2. Step 2: Convert to fraction form
    184,976/398,008 = 398,008/x
  3. Step 3: Cross multiply
    184,976x = 398,008 × 398,008
  4. Step 4: Simplify right side
    184,976x = 158,410,368,064
  5. Step 5: Solve for x
    x = 158,410,368,064/184,976
  6. Step 6: Final answer
    x = 856,383.36

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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.