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Finding the Third Proportional to 115,986 and 270,997

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Solution

The third proportional to 115,986 and 270,997 is: 633,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986 : 270,997 = 270,997 : x
  2. Step 2: Convert to fraction form
    115,986/270,997 = 270,997/x
  3. Step 3: Cross multiply
    115,986x = 270,997 × 270,997
  4. Step 4: Simplify right side
    115,986x = 73,439,374,009
  5. Step 5: Solve for x
    x = 73,439,374,009/115,986
  6. Step 6: Final answer
    x = 633,174.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.