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Finding the Third Proportional to 116,517 and 248,286

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Solution

The third proportional to 116,517 and 248,286 is: 529,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,517 : 248,286 = 248,286 : x
  2. Step 2: Convert to fraction form
    116,517/248,286 = 248,286/x
  3. Step 3: Cross multiply
    116,517x = 248,286 × 248,286
  4. Step 4: Simplify right side
    116,517x = 61,645,937,796
  5. Step 5: Solve for x
    x = 61,645,937,796/116,517
  6. Step 6: Final answer
    x = 529,072.48

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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.