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Finding the Third Proportional to 206,050.50 and 427,885.88

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Solution

The third proportional to 206,050.50 and 427,885.88 is: 888,550.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,050.50 : 427,885.88 = 427,885.88 : x
  2. Step 2: Convert to fraction form
    206,050.50/427,885.88 = 427,885.88/x
  3. Step 3: Cross multiply
    206,050.50x = 427,885.88 × 427,885.88
  4. Step 4: Simplify right side
    206,050.50x = 183,086,322,024.52
  5. Step 5: Solve for x
    x = 183,086,322,024.52/206,050.50
  6. Step 6: Final answer
    x = 888,550.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.