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Finding the Third Proportional to 115,832 and 250,009

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Solution

The third proportional to 115,832 and 250,009 is: 539,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,832 : 250,009 = 250,009 : x
  2. Step 2: Convert to fraction form
    115,832/250,009 = 250,009/x
  3. Step 3: Cross multiply
    115,832x = 250,009 × 250,009
  4. Step 4: Simplify right side
    115,832x = 62,504,500,081
  5. Step 5: Solve for x
    x = 62,504,500,081/115,832
  6. Step 6: Final answer
    x = 539,613.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.