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Finding the Third Proportional to 113,224 and 239,934

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Solution

The third proportional to 113,224 and 239,934 is: 508,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,224 : 239,934 = 239,934 : x
  2. Step 2: Convert to fraction form
    113,224/239,934 = 239,934/x
  3. Step 3: Cross multiply
    113,224x = 239,934 × 239,934
  4. Step 4: Simplify right side
    113,224x = 57,568,324,356
  5. Step 5: Solve for x
    x = 57,568,324,356/113,224
  6. Step 6: Final answer
    x = 508,446.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.