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Finding the Third Proportional to 115,884 and 239,213.25

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Solution

The third proportional to 115,884 and 239,213.25 is: 493,795.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,884 : 239,213.25 = 239,213.25 : x
  2. Step 2: Convert to fraction form
    115,884/239,213.25 = 239,213.25/x
  3. Step 3: Cross multiply
    115,884x = 239,213.25 × 239,213.25
  4. Step 4: Simplify right side
    115,884x = 57,222,978,975.56
  5. Step 5: Solve for x
    x = 57,222,978,975.56/115,884
  6. Step 6: Final answer
    x = 493,795.34

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.