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Finding the Third Proportional to 115,913.25 and 246,042

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Solution

The third proportional to 115,913.25 and 246,042 is: 522,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,913.25 : 246,042 = 246,042 : x
  2. Step 2: Convert to fraction form
    115,913.25/246,042 = 246,042/x
  3. Step 3: Cross multiply
    115,913.25x = 246,042 × 246,042
  4. Step 4: Simplify right side
    115,913.25x = 60,536,665,764
  5. Step 5: Solve for x
    x = 60,536,665,764/115,913.25
  6. Step 6: Final answer
    x = 522,258.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.