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Finding the Third Proportional to 110,820 and 267,176

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Solution

The third proportional to 110,820 and 267,176 is: 644,134.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,820 : 267,176 = 267,176 : x
  2. Step 2: Convert to fraction form
    110,820/267,176 = 267,176/x
  3. Step 3: Cross multiply
    110,820x = 267,176 × 267,176
  4. Step 4: Simplify right side
    110,820x = 71,383,014,976
  5. Step 5: Solve for x
    x = 71,383,014,976/110,820
  6. Step 6: Final answer
    x = 644,134.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.