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Finding the Third Proportional to 205,328.25 and 317,793.38

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Solution

The third proportional to 205,328.25 and 317,793.38 is: 491,859.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,328.25 : 317,793.38 = 317,793.38 : x
  2. Step 2: Convert to fraction form
    205,328.25/317,793.38 = 317,793.38/x
  3. Step 3: Cross multiply
    205,328.25x = 317,793.38 × 317,793.38
  4. Step 4: Simplify right side
    205,328.25x = 100,992,629,193.89
  5. Step 5: Solve for x
    x = 100,992,629,193.89/205,328.25
  6. Step 6: Final answer
    x = 491,859.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.