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Finding the Third Proportional to 110,172 and 226,863

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Solution

The third proportional to 110,172 and 226,863 is: 467,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,172 : 226,863 = 226,863 : x
  2. Step 2: Convert to fraction form
    110,172/226,863 = 226,863/x
  3. Step 3: Cross multiply
    110,172x = 226,863 × 226,863
  4. Step 4: Simplify right side
    110,172x = 51,466,820,769
  5. Step 5: Solve for x
    x = 51,466,820,769/110,172
  6. Step 6: Final answer
    x = 467,149.74

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.