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Finding the Third Proportional to 206,698.13 and 442,920.75

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Solution

The third proportional to 206,698.13 and 442,920.75 is: 949,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.13 : 442,920.75 = 442,920.75 : x
  2. Step 2: Convert to fraction form
    206,698.13/442,920.75 = 442,920.75/x
  3. Step 3: Cross multiply
    206,698.13x = 442,920.75 × 442,920.75
  4. Step 4: Simplify right side
    206,698.13x = 196,178,790,780.56
  5. Step 5: Solve for x
    x = 196,178,790,780.56/206,698.13
  6. Step 6: Final answer
    x = 949,107.74

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.