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Finding the Third Proportional to 205,267 and 326,873

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Solution

The third proportional to 205,267 and 326,873 is: 520,521.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,267 : 326,873 = 326,873 : x
  2. Step 2: Convert to fraction form
    205,267/326,873 = 326,873/x
  3. Step 3: Cross multiply
    205,267x = 326,873 × 326,873
  4. Step 4: Simplify right side
    205,267x = 106,845,958,129
  5. Step 5: Solve for x
    x = 106,845,958,129/205,267
  6. Step 6: Final answer
    x = 520,521.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.