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Finding the Third Proportional to 115,427 and 246,163

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Solution

The third proportional to 115,427 and 246,163 is: 524,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,427 : 246,163 = 246,163 : x
  2. Step 2: Convert to fraction form
    115,427/246,163 = 246,163/x
  3. Step 3: Cross multiply
    115,427x = 246,163 × 246,163
  4. Step 4: Simplify right side
    115,427x = 60,596,222,569
  5. Step 5: Solve for x
    x = 60,596,222,569/115,427
  6. Step 6: Final answer
    x = 524,974.42

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.