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Finding the Third Proportional to 184,917 and 399,336

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Solution

The third proportional to 184,917 and 399,336 is: 862,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,917 : 399,336 = 399,336 : x
  2. Step 2: Convert to fraction form
    184,917/399,336 = 399,336/x
  3. Step 3: Cross multiply
    184,917x = 399,336 × 399,336
  4. Step 4: Simplify right side
    184,917x = 159,469,240,896
  5. Step 5: Solve for x
    x = 159,469,240,896/184,917
  6. Step 6: Final answer
    x = 862,382.80

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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.