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Finding the Third Proportional to 206,179 and 319,244

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Solution

The third proportional to 206,179 and 319,244 is: 494,311.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,179 : 319,244 = 319,244 : x
  2. Step 2: Convert to fraction form
    206,179/319,244 = 319,244/x
  3. Step 3: Cross multiply
    206,179x = 319,244 × 319,244
  4. Step 4: Simplify right side
    206,179x = 101,916,731,536
  5. Step 5: Solve for x
    x = 101,916,731,536/206,179
  6. Step 6: Final answer
    x = 494,311.89

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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.