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Finding the Third Proportional to 110,738 and 236,240

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Solution

The third proportional to 110,738 and 236,240 is: 503,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,738 : 236,240 = 236,240 : x
  2. Step 2: Convert to fraction form
    110,738/236,240 = 236,240/x
  3. Step 3: Cross multiply
    110,738x = 236,240 × 236,240
  4. Step 4: Simplify right side
    110,738x = 55,809,337,600
  5. Step 5: Solve for x
    x = 55,809,337,600/110,738
  6. Step 6: Final answer
    x = 503,976.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.