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Finding the Third Proportional to 96,729 and 217,266

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Solution

The third proportional to 96,729 and 217,266 is: 488,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,729 : 217,266 = 217,266 : x
  2. Step 2: Convert to fraction form
    96,729/217,266 = 217,266/x
  3. Step 3: Cross multiply
    96,729x = 217,266 × 217,266
  4. Step 4: Simplify right side
    96,729x = 47,204,514,756
  5. Step 5: Solve for x
    x = 47,204,514,756/96,729
  6. Step 6: Final answer
    x = 488,007.89

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.