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Finding the Third Proportional to 115,832 and 253,809

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Solution

The third proportional to 115,832 and 253,809 is: 556,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,832 : 253,809 = 253,809 : x
  2. Step 2: Convert to fraction form
    115,832/253,809 = 253,809/x
  3. Step 3: Cross multiply
    115,832x = 253,809 × 253,809
  4. Step 4: Simplify right side
    115,832x = 64,419,008,481
  5. Step 5: Solve for x
    x = 64,419,008,481/115,832
  6. Step 6: Final answer
    x = 556,141.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.