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Finding the Third Proportional to 213,986 and 331,167

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Solution

The third proportional to 213,986 and 331,167 is: 512,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986 : 331,167 = 331,167 : x
  2. Step 2: Convert to fraction form
    213,986/331,167 = 331,167/x
  3. Step 3: Cross multiply
    213,986x = 331,167 × 331,167
  4. Step 4: Simplify right side
    213,986x = 109,671,581,889
  5. Step 5: Solve for x
    x = 109,671,581,889/213,986
  6. Step 6: Final answer
    x = 512,517.56

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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.