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Finding the Third Proportional to 205,934 and 319,167

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Solution

The third proportional to 205,934 and 319,167 is: 494,661.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,934 : 319,167 = 319,167 : x
  2. Step 2: Convert to fraction form
    205,934/319,167 = 319,167/x
  3. Step 3: Cross multiply
    205,934x = 319,167 × 319,167
  4. Step 4: Simplify right side
    205,934x = 101,867,573,889
  5. Step 5: Solve for x
    x = 101,867,573,889/205,934
  6. Step 6: Final answer
    x = 494,661.27

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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.