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Finding the Third Proportional to 104,034 and 223,868

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Solution

The third proportional to 104,034 and 223,868 is: 481,735.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,034 : 223,868 = 223,868 : x
  2. Step 2: Convert to fraction form
    104,034/223,868 = 223,868/x
  3. Step 3: Cross multiply
    104,034x = 223,868 × 223,868
  4. Step 4: Simplify right side
    104,034x = 50,116,881,424
  5. Step 5: Solve for x
    x = 50,116,881,424/104,034
  6. Step 6: Final answer
    x = 481,735.60

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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.