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Finding the Third Proportional to 101,786 and 223,652

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Solution

The third proportional to 101,786 and 223,652 is: 491,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,786 : 223,652 = 223,652 : x
  2. Step 2: Convert to fraction form
    101,786/223,652 = 223,652/x
  3. Step 3: Cross multiply
    101,786x = 223,652 × 223,652
  4. Step 4: Simplify right side
    101,786x = 50,020,217,104
  5. Step 5: Solve for x
    x = 50,020,217,104/101,786
  6. Step 6: Final answer
    x = 491,425.31

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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.