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Finding the Third Proportional to 115,909 and 241,861

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Solution

The third proportional to 115,909 and 241,861 is: 504,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,909 : 241,861 = 241,861 : x
  2. Step 2: Convert to fraction form
    115,909/241,861 = 241,861/x
  3. Step 3: Cross multiply
    115,909x = 241,861 × 241,861
  4. Step 4: Simplify right side
    115,909x = 58,496,743,321
  5. Step 5: Solve for x
    x = 58,496,743,321/115,909
  6. Step 6: Final answer
    x = 504,678.18

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.