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Finding the Third Proportional to 101,540 and 223,324

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Solution

The third proportional to 101,540 and 223,324 is: 491,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,540 : 223,324 = 223,324 : x
  2. Step 2: Convert to fraction form
    101,540/223,324 = 223,324/x
  3. Step 3: Cross multiply
    101,540x = 223,324 × 223,324
  4. Step 4: Simplify right side
    101,540x = 49,873,608,976
  5. Step 5: Solve for x
    x = 49,873,608,976/101,540
  6. Step 6: Final answer
    x = 491,172.04

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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.