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Finding the Third Proportional to 213,690 and 332,195

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Solution

The third proportional to 213,690 and 332,195 is: 516,418.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,690 : 332,195 = 332,195 : x
  2. Step 2: Convert to fraction form
    213,690/332,195 = 332,195/x
  3. Step 3: Cross multiply
    213,690x = 332,195 × 332,195
  4. Step 4: Simplify right side
    213,690x = 110,353,518,025
  5. Step 5: Solve for x
    x = 110,353,518,025/213,690
  6. Step 6: Final answer
    x = 516,418.73

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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.