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Finding the Third Proportional to 214,469.34 and 462,179.34

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Solution

The third proportional to 214,469.34 and 462,179.34 is: 995,991.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,469.34 : 462,179.34 = 462,179.34 : x
  2. Step 2: Convert to fraction form
    214,469.34/462,179.34 = 462,179.34/x
  3. Step 3: Cross multiply
    214,469.34x = 462,179.34 × 462,179.34
  4. Step 4: Simplify right side
    214,469.34x = 213,609,745,789.18
  5. Step 5: Solve for x
    x = 213,609,745,789.18/214,469.34
  6. Step 6: Final answer
    x = 995,991.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.