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Finding the Third Proportional to 205,934.25 and 445,176.75

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Solution

The third proportional to 205,934.25 and 445,176.75 is: 962,357.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,934.25 : 445,176.75 = 445,176.75 : x
  2. Step 2: Convert to fraction form
    205,934.25/445,176.75 = 445,176.75/x
  3. Step 3: Cross multiply
    205,934.25x = 445,176.75 × 445,176.75
  4. Step 4: Simplify right side
    205,934.25x = 198,182,338,740.56
  5. Step 5: Solve for x
    x = 198,182,338,740.56/205,934.25
  6. Step 6: Final answer
    x = 962,357.35

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.