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Finding the Third Proportional to 217,918 and 326,867

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Solution

The third proportional to 217,918 and 326,867 is: 490,285.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,918 : 326,867 = 326,867 : x
  2. Step 2: Convert to fraction form
    217,918/326,867 = 326,867/x
  3. Step 3: Cross multiply
    217,918x = 326,867 × 326,867
  4. Step 4: Simplify right side
    217,918x = 106,842,035,689
  5. Step 5: Solve for x
    x = 106,842,035,689/217,918
  6. Step 6: Final answer
    x = 490,285.50

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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.