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Finding the Third Proportional to 110,938 and 239,372

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Solution

The third proportional to 110,938 and 239,372 is: 516,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,938 : 239,372 = 239,372 : x
  2. Step 2: Convert to fraction form
    110,938/239,372 = 239,372/x
  3. Step 3: Cross multiply
    110,938x = 239,372 × 239,372
  4. Step 4: Simplify right side
    110,938x = 57,298,954,384
  5. Step 5: Solve for x
    x = 57,298,954,384/110,938
  6. Step 6: Final answer
    x = 516,495.29

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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.