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Finding the Third Proportional to 100,241 and 208,749

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Solution

The third proportional to 100,241 and 208,749 is: 434,713.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,241 : 208,749 = 208,749 : x
  2. Step 2: Convert to fraction form
    100,241/208,749 = 208,749/x
  3. Step 3: Cross multiply
    100,241x = 208,749 × 208,749
  4. Step 4: Simplify right side
    100,241x = 43,576,145,001
  5. Step 5: Solve for x
    x = 43,576,145,001/100,241
  6. Step 6: Final answer
    x = 434,713.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.