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Finding the Third Proportional to 110,863 and 251,322

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Solution

The third proportional to 110,863 and 251,322 is: 569,736.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,863 : 251,322 = 251,322 : x
  2. Step 2: Convert to fraction form
    110,863/251,322 = 251,322/x
  3. Step 3: Cross multiply
    110,863x = 251,322 × 251,322
  4. Step 4: Simplify right side
    110,863x = 63,162,747,684
  5. Step 5: Solve for x
    x = 63,162,747,684/110,863
  6. Step 6: Final answer
    x = 569,736.95

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.