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Finding the Third Proportional to 101,904 and 222,324

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Solution

The third proportional to 101,904 and 222,324 is: 485,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,904 : 222,324 = 222,324 : x
  2. Step 2: Convert to fraction form
    101,904/222,324 = 222,324/x
  3. Step 3: Cross multiply
    101,904x = 222,324 × 222,324
  4. Step 4: Simplify right side
    101,904x = 49,427,960,976
  5. Step 5: Solve for x
    x = 49,427,960,976/101,904
  6. Step 6: Final answer
    x = 485,044.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.