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Finding the Third Proportional to 202,981.50 and 283,779

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Solution

The third proportional to 202,981.50 and 283,779 is: 396,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,981.50 : 283,779 = 283,779 : x
  2. Step 2: Convert to fraction form
    202,981.50/283,779 = 283,779/x
  3. Step 3: Cross multiply
    202,981.50x = 283,779 × 283,779
  4. Step 4: Simplify right side
    202,981.50x = 80,530,520,841
  5. Step 5: Solve for x
    x = 80,530,520,841/202,981.50
  6. Step 6: Final answer
    x = 396,738.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.