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Finding the Third Proportional to 184,767.75 and 398,001

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Solution

The third proportional to 184,767.75 and 398,001 is: 857,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,767.75 : 398,001 = 398,001 : x
  2. Step 2: Convert to fraction form
    184,767.75/398,001 = 398,001/x
  3. Step 3: Cross multiply
    184,767.75x = 398,001 × 398,001
  4. Step 4: Simplify right side
    184,767.75x = 158,404,796,001
  5. Step 5: Solve for x
    x = 158,404,796,001/184,767.75
  6. Step 6: Final answer
    x = 857,318.42

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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.