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Finding the Third Proportional to 122,163 and 262,794

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Solution

The third proportional to 122,163 and 262,794 is: 565,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,163 : 262,794 = 262,794 : x
  2. Step 2: Convert to fraction form
    122,163/262,794 = 262,794/x
  3. Step 3: Cross multiply
    122,163x = 262,794 × 262,794
  4. Step 4: Simplify right side
    122,163x = 69,060,686,436
  5. Step 5: Solve for x
    x = 69,060,686,436/122,163
  6. Step 6: Final answer
    x = 565,315.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.