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Finding the Third Proportional to 206,067 and 326,920.50

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Solution

The third proportional to 206,067 and 326,920.50 is: 518,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,067 : 326,920.50 = 326,920.50 : x
  2. Step 2: Convert to fraction form
    206,067/326,920.50 = 326,920.50/x
  3. Step 3: Cross multiply
    206,067x = 326,920.50 × 326,920.50
  4. Step 4: Simplify right side
    206,067x = 106,877,013,320.25
  5. Step 5: Solve for x
    x = 106,877,013,320.25/206,067
  6. Step 6: Final answer
    x = 518,651.77

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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.