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Finding the Third Proportional to 213,982 and 331,164

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Solution

The third proportional to 213,982 and 331,164 is: 512,517.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,982 : 331,164 = 331,164 : x
  2. Step 2: Convert to fraction form
    213,982/331,164 = 331,164/x
  3. Step 3: Cross multiply
    213,982x = 331,164 × 331,164
  4. Step 4: Simplify right side
    213,982x = 109,669,594,896
  5. Step 5: Solve for x
    x = 109,669,594,896/213,982
  6. Step 6: Final answer
    x = 512,517.85

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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.