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Finding the Third Proportional to 213,686 and 332,194

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Solution

The third proportional to 213,686 and 332,194 is: 516,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,686 : 332,194 = 332,194 : x
  2. Step 2: Convert to fraction form
    213,686/332,194 = 332,194/x
  3. Step 3: Cross multiply
    213,686x = 332,194 × 332,194
  4. Step 4: Simplify right side
    213,686x = 110,352,853,636
  5. Step 5: Solve for x
    x = 110,352,853,636/213,686
  6. Step 6: Final answer
    x = 516,425.29

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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.