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Finding the Third Proportional to 103,671 and 204,904

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Solution

The third proportional to 103,671 and 204,904 is: 404,989.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,671 : 204,904 = 204,904 : x
  2. Step 2: Convert to fraction form
    103,671/204,904 = 204,904/x
  3. Step 3: Cross multiply
    103,671x = 204,904 × 204,904
  4. Step 4: Simplify right side
    103,671x = 41,985,649,216
  5. Step 5: Solve for x
    x = 41,985,649,216/103,671
  6. Step 6: Final answer
    x = 404,989.33

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.