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Finding the Third Proportional to 213,629 and 332,108

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Solution

The third proportional to 213,629 and 332,108 is: 516,295.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,629 : 332,108 = 332,108 : x
  2. Step 2: Convert to fraction form
    213,629/332,108 = 332,108/x
  3. Step 3: Cross multiply
    213,629x = 332,108 × 332,108
  4. Step 4: Simplify right side
    213,629x = 110,295,723,664
  5. Step 5: Solve for x
    x = 110,295,723,664/213,629
  6. Step 6: Final answer
    x = 516,295.65

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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.