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Finding the Third Proportional to 205,928 and 328,876

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Solution

The third proportional to 205,928 and 328,876 is: 525,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928 : 328,876 = 328,876 : x
  2. Step 2: Convert to fraction form
    205,928/328,876 = 328,876/x
  3. Step 3: Cross multiply
    205,928x = 328,876 × 328,876
  4. Step 4: Simplify right side
    205,928x = 108,159,423,376
  5. Step 5: Solve for x
    x = 108,159,423,376/205,928
  6. Step 6: Final answer
    x = 525,229.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.