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Finding the Third Proportional to 100,344 and 213,672

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Solution

The third proportional to 100,344 and 213,672 is: 454,992.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,344 : 213,672 = 213,672 : x
  2. Step 2: Convert to fraction form
    100,344/213,672 = 213,672/x
  3. Step 3: Cross multiply
    100,344x = 213,672 × 213,672
  4. Step 4: Simplify right side
    100,344x = 45,655,723,584
  5. Step 5: Solve for x
    x = 45,655,723,584/100,344
  6. Step 6: Final answer
    x = 454,992.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.