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Finding the Third Proportional to 213,684 and 332,191

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Solution

The third proportional to 213,684 and 332,191 is: 516,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,684 : 332,191 = 332,191 : x
  2. Step 2: Convert to fraction form
    213,684/332,191 = 332,191/x
  3. Step 3: Cross multiply
    213,684x = 332,191 × 332,191
  4. Step 4: Simplify right side
    213,684x = 110,350,860,481
  5. Step 5: Solve for x
    x = 110,350,860,481/213,684
  6. Step 6: Final answer
    x = 516,420.79

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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.