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Finding the Third Proportional to 103,422 and 227,796

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Solution

The third proportional to 103,422 and 227,796 is: 501,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,422 : 227,796 = 227,796 : x
  2. Step 2: Convert to fraction form
    103,422/227,796 = 227,796/x
  3. Step 3: Cross multiply
    103,422x = 227,796 × 227,796
  4. Step 4: Simplify right side
    103,422x = 51,891,017,616
  5. Step 5: Solve for x
    x = 51,891,017,616/103,422
  6. Step 6: Final answer
    x = 501,740.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.