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Finding the Third Proportional to 110,252 and 238,816

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Solution

The third proportional to 110,252 and 238,816 is: 517,297.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,252 : 238,816 = 238,816 : x
  2. Step 2: Convert to fraction form
    110,252/238,816 = 238,816/x
  3. Step 3: Cross multiply
    110,252x = 238,816 × 238,816
  4. Step 4: Simplify right side
    110,252x = 57,033,081,856
  5. Step 5: Solve for x
    x = 57,033,081,856/110,252
  6. Step 6: Final answer
    x = 517,297.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.