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Finding the Third Proportional to 115,578 and 250,110

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Solution

The third proportional to 115,578 and 250,110 is: 541,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,578 : 250,110 = 250,110 : x
  2. Step 2: Convert to fraction form
    115,578/250,110 = 250,110/x
  3. Step 3: Cross multiply
    115,578x = 250,110 × 250,110
  4. Step 4: Simplify right side
    115,578x = 62,555,012,100
  5. Step 5: Solve for x
    x = 62,555,012,100/115,578
  6. Step 6: Final answer
    x = 541,236.33

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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.