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Finding the Third Proportional to 206,412.75 and 305,791.88

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Solution

The third proportional to 206,412.75 and 305,791.88 is: 453,017.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.75 : 305,791.88 = 305,791.88 : x
  2. Step 2: Convert to fraction form
    206,412.75/305,791.88 = 305,791.88/x
  3. Step 3: Cross multiply
    206,412.75x = 305,791.88 × 305,791.88
  4. Step 4: Simplify right side
    206,412.75x = 93,508,670,816.02
  5. Step 5: Solve for x
    x = 93,508,670,816.02/206,412.75
  6. Step 6: Final answer
    x = 453,017.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.