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Finding the Third Proportional to 115,539 and 248,325

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Solution

The third proportional to 115,539 and 248,325 is: 533,718.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,539 : 248,325 = 248,325 : x
  2. Step 2: Convert to fraction form
    115,539/248,325 = 248,325/x
  3. Step 3: Cross multiply
    115,539x = 248,325 × 248,325
  4. Step 4: Simplify right side
    115,539x = 61,665,305,625
  5. Step 5: Solve for x
    x = 61,665,305,625/115,539
  6. Step 6: Final answer
    x = 533,718.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.