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Finding the Third Proportional to 115,601 and 250,885

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Solution

The third proportional to 115,601 and 250,885 is: 544,487.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,601 : 250,885 = 250,885 : x
  2. Step 2: Convert to fraction form
    115,601/250,885 = 250,885/x
  3. Step 3: Cross multiply
    115,601x = 250,885 × 250,885
  4. Step 4: Simplify right side
    115,601x = 62,943,283,225
  5. Step 5: Solve for x
    x = 62,943,283,225/115,601
  6. Step 6: Final answer
    x = 544,487.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.