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Finding the Third Proportional to 184,986 and 398,767

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Solution

The third proportional to 184,986 and 398,767 is: 859,606.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,986 : 398,767 = 398,767 : x
  2. Step 2: Convert to fraction form
    184,986/398,767 = 398,767/x
  3. Step 3: Cross multiply
    184,986x = 398,767 × 398,767
  4. Step 4: Simplify right side
    184,986x = 159,015,120,289
  5. Step 5: Solve for x
    x = 159,015,120,289/184,986
  6. Step 6: Final answer
    x = 859,606.24

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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.