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Finding the Third Proportional to 110,733 and 236,230

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Solution

The third proportional to 110,733 and 236,230 is: 503,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,733 : 236,230 = 236,230 : x
  2. Step 2: Convert to fraction form
    110,733/236,230 = 236,230/x
  3. Step 3: Cross multiply
    110,733x = 236,230 × 236,230
  4. Step 4: Simplify right side
    110,733x = 55,804,612,900
  5. Step 5: Solve for x
    x = 55,804,612,900/110,733
  6. Step 6: Final answer
    x = 503,956.48

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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.