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Finding the Third Proportional to 213,926 and 332,589

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Solution

The third proportional to 213,926 and 332,589 is: 517,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,926 : 332,589 = 332,589 : x
  2. Step 2: Convert to fraction form
    213,926/332,589 = 332,589/x
  3. Step 3: Cross multiply
    213,926x = 332,589 × 332,589
  4. Step 4: Simplify right side
    213,926x = 110,615,442,921
  5. Step 5: Solve for x
    x = 110,615,442,921/213,926
  6. Step 6: Final answer
    x = 517,073.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.