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Finding the Third Proportional to 103,976 and 227,696

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Solution

The third proportional to 103,976 and 227,696 is: 498,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,976 : 227,696 = 227,696 : x
  2. Step 2: Convert to fraction form
    103,976/227,696 = 227,696/x
  3. Step 3: Cross multiply
    103,976x = 227,696 × 227,696
  4. Step 4: Simplify right side
    103,976x = 51,845,468,416
  5. Step 5: Solve for x
    x = 51,845,468,416/103,976
  6. Step 6: Final answer
    x = 498,629.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.