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Finding the Third Proportional to 138,167 and 295,936

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Solution

The third proportional to 138,167 and 295,936 is: 633,856.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,167 : 295,936 = 295,936 : x
  2. Step 2: Convert to fraction form
    138,167/295,936 = 295,936/x
  3. Step 3: Cross multiply
    138,167x = 295,936 × 295,936
  4. Step 4: Simplify right side
    138,167x = 87,578,116,096
  5. Step 5: Solve for x
    x = 87,578,116,096/138,167
  6. Step 6: Final answer
    x = 633,856.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.