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Finding the Third Proportional to 206,853.75 and 445,373.44

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Solution

The third proportional to 206,853.75 and 445,373.44 is: 958,926.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,853.75 : 445,373.44 = 445,373.44 : x
  2. Step 2: Convert to fraction form
    206,853.75/445,373.44 = 445,373.44/x
  3. Step 3: Cross multiply
    206,853.75x = 445,373.44 × 445,373.44
  4. Step 4: Simplify right side
    206,853.75x = 198,357,498,830.57
  5. Step 5: Solve for x
    x = 198,357,498,830.57/206,853.75
  6. Step 6: Final answer
    x = 958,926.29

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Why These Related Problems?

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