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Finding the Third Proportional to 184,981 and 398,036

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Solution

The third proportional to 184,981 and 398,036 is: 856,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,981 : 398,036 = 398,036 : x
  2. Step 2: Convert to fraction form
    184,981/398,036 = 398,036/x
  3. Step 3: Cross multiply
    184,981x = 398,036 × 398,036
  4. Step 4: Simplify right side
    184,981x = 158,432,657,296
  5. Step 5: Solve for x
    x = 158,432,657,296/184,981
  6. Step 6: Final answer
    x = 856,480.71

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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.