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Finding the Third Proportional to 112,381 and 255,941

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Solution

The third proportional to 112,381 and 255,941 is: 582,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,381 : 255,941 = 255,941 : x
  2. Step 2: Convert to fraction form
    112,381/255,941 = 255,941/x
  3. Step 3: Cross multiply
    112,381x = 255,941 × 255,941
  4. Step 4: Simplify right side
    112,381x = 65,505,795,481
  5. Step 5: Solve for x
    x = 65,505,795,481/112,381
  6. Step 6: Final answer
    x = 582,890.31

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.