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Finding the Third Proportional to 205,368.75 and 441,294.75

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Solution

The third proportional to 205,368.75 and 441,294.75 is: 948,250.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,368.75 : 441,294.75 = 441,294.75 : x
  2. Step 2: Convert to fraction form
    205,368.75/441,294.75 = 441,294.75/x
  3. Step 3: Cross multiply
    205,368.75x = 441,294.75 × 441,294.75
  4. Step 4: Simplify right side
    205,368.75x = 194,741,056,377.56
  5. Step 5: Solve for x
    x = 194,741,056,377.56/205,368.75
  6. Step 6: Final answer
    x = 948,250.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.