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Finding the Third Proportional to 104,017 and 223,838

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Solution

The third proportional to 104,017 and 223,838 is: 481,685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,017 : 223,838 = 223,838 : x
  2. Step 2: Convert to fraction form
    104,017/223,838 = 223,838/x
  3. Step 3: Cross multiply
    104,017x = 223,838 × 223,838
  4. Step 4: Simplify right side
    104,017x = 50,103,450,244
  5. Step 5: Solve for x
    x = 50,103,450,244/104,017
  6. Step 6: Final answer
    x = 481,685.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.