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Finding the Third Proportional to 101,846 and 223,780

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Solution

The third proportional to 101,846 and 223,780 is: 491,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,846 : 223,780 = 223,780 : x
  2. Step 2: Convert to fraction form
    101,846/223,780 = 223,780/x
  3. Step 3: Cross multiply
    101,846x = 223,780 × 223,780
  4. Step 4: Simplify right side
    101,846x = 50,077,488,400
  5. Step 5: Solve for x
    x = 50,077,488,400/101,846
  6. Step 6: Final answer
    x = 491,698.14

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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.