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Finding the Third Proportional to 112,256 and 247,936

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Solution

The third proportional to 112,256 and 247,936 is: 547,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,256 : 247,936 = 247,936 : x
  2. Step 2: Convert to fraction form
    112,256/247,936 = 247,936/x
  3. Step 3: Cross multiply
    112,256x = 247,936 × 247,936
  4. Step 4: Simplify right side
    112,256x = 61,472,260,096
  5. Step 5: Solve for x
    x = 61,472,260,096/112,256
  6. Step 6: Final answer
    x = 547,607.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.