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Finding the Third Proportional to 109,796 and 239,672

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Solution

The third proportional to 109,796 and 239,672 is: 523,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,796 : 239,672 = 239,672 : x
  2. Step 2: Convert to fraction form
    109,796/239,672 = 239,672/x
  3. Step 3: Cross multiply
    109,796x = 239,672 × 239,672
  4. Step 4: Simplify right side
    109,796x = 57,442,667,584
  5. Step 5: Solve for x
    x = 57,442,667,584/109,796
  6. Step 6: Final answer
    x = 523,176.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.