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Finding the Third Proportional to 184,647 and 400,398

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Solution

The third proportional to 184,647 and 400,398 is: 868,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,647 : 400,398 = 400,398 : x
  2. Step 2: Convert to fraction form
    184,647/400,398 = 400,398/x
  3. Step 3: Cross multiply
    184,647x = 400,398 × 400,398
  4. Step 4: Simplify right side
    184,647x = 160,318,558,404
  5. Step 5: Solve for x
    x = 160,318,558,404/184,647
  6. Step 6: Final answer
    x = 868,243.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.