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Finding the Third Proportional to 115,906.50 and 241,857

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Solution

The third proportional to 115,906.50 and 241,857 is: 504,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,906.50 : 241,857 = 241,857 : x
  2. Step 2: Convert to fraction form
    115,906.50/241,857 = 241,857/x
  3. Step 3: Cross multiply
    115,906.50x = 241,857 × 241,857
  4. Step 4: Simplify right side
    115,906.50x = 58,494,808,449
  5. Step 5: Solve for x
    x = 58,494,808,449/115,906.50
  6. Step 6: Final answer
    x = 504,672.37

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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.