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Finding the Third Proportional to 206,493.75 and 300,750.75

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Solution

The third proportional to 206,493.75 and 300,750.75 is: 438,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,493.75 : 300,750.75 = 300,750.75 : x
  2. Step 2: Convert to fraction form
    206,493.75/300,750.75 = 300,750.75/x
  3. Step 3: Cross multiply
    206,493.75x = 300,750.75 × 300,750.75
  4. Step 4: Simplify right side
    206,493.75x = 90,451,013,625.56
  5. Step 5: Solve for x
    x = 90,451,013,625.56/206,493.75
  6. Step 6: Final answer
    x = 438,032.69

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.