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Finding the Third Proportional to 217,793.25 and 326,690.25

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Solution

The third proportional to 217,793.25 and 326,690.25 is: 490,035.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,793.25 : 326,690.25 = 326,690.25 : x
  2. Step 2: Convert to fraction form
    217,793.25/326,690.25 = 326,690.25/x
  3. Step 3: Cross multiply
    217,793.25x = 326,690.25 × 326,690.25
  4. Step 4: Simplify right side
    217,793.25x = 106,726,519,445.06
  5. Step 5: Solve for x
    x = 106,726,519,445.06/217,793.25
  6. Step 6: Final answer
    x = 490,035.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.