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Finding the Third Proportional to 120,879 and 263,264

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Solution

The third proportional to 120,879 and 263,264 is: 573,366.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,879 : 263,264 = 263,264 : x
  2. Step 2: Convert to fraction form
    120,879/263,264 = 263,264/x
  3. Step 3: Cross multiply
    120,879x = 263,264 × 263,264
  4. Step 4: Simplify right side
    120,879x = 69,307,933,696
  5. Step 5: Solve for x
    x = 69,307,933,696/120,879
  6. Step 6: Final answer
    x = 573,366.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.