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Finding the Third Proportional to 206,177 and 319,242

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Solution

The third proportional to 206,177 and 319,242 is: 494,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,177 : 319,242 = 319,242 : x
  2. Step 2: Convert to fraction form
    206,177/319,242 = 319,242/x
  3. Step 3: Cross multiply
    206,177x = 319,242 × 319,242
  4. Step 4: Simplify right side
    206,177x = 101,915,454,564
  5. Step 5: Solve for x
    x = 101,915,454,564/206,177
  6. Step 6: Final answer
    x = 494,310.49

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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.