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Finding the Third Proportional to 110,238 and 237,936

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Solution

The third proportional to 110,238 and 237,936 is: 513,557.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,238 : 237,936 = 237,936 : x
  2. Step 2: Convert to fraction form
    110,238/237,936 = 237,936/x
  3. Step 3: Cross multiply
    110,238x = 237,936 × 237,936
  4. Step 4: Simplify right side
    110,238x = 56,613,540,096
  5. Step 5: Solve for x
    x = 56,613,540,096/110,238
  6. Step 6: Final answer
    x = 513,557.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.