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Finding the Third Proportional to 104,070 and 223,917

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Solution

The third proportional to 104,070 and 223,917 is: 481,779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,070 : 223,917 = 223,917 : x
  2. Step 2: Convert to fraction form
    104,070/223,917 = 223,917/x
  3. Step 3: Cross multiply
    104,070x = 223,917 × 223,917
  4. Step 4: Simplify right side
    104,070x = 50,138,822,889
  5. Step 5: Solve for x
    x = 50,138,822,889/104,070
  6. Step 6: Final answer
    x = 481,779.79

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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.