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Finding the Third Proportional to 112,678 and 244,976

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Solution

The third proportional to 112,678 and 244,976 is: 532,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,678 : 244,976 = 244,976 : x
  2. Step 2: Convert to fraction form
    112,678/244,976 = 244,976/x
  3. Step 3: Cross multiply
    112,678x = 244,976 × 244,976
  4. Step 4: Simplify right side
    112,678x = 60,013,240,576
  5. Step 5: Solve for x
    x = 60,013,240,576/112,678
  6. Step 6: Final answer
    x = 532,608.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.