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Finding the Third Proportional to 203,089.13 and 283,916.44

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Solution

The third proportional to 203,089.13 and 283,916.44 is: 396,912.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,089.13 : 283,916.44 = 283,916.44 : x
  2. Step 2: Convert to fraction form
    203,089.13/283,916.44 = 283,916.44/x
  3. Step 3: Cross multiply
    203,089.13x = 283,916.44 × 283,916.44
  4. Step 4: Simplify right side
    203,089.13x = 80,608,543,482.69
  5. Step 5: Solve for x
    x = 80,608,543,482.69/203,089.13
  6. Step 6: Final answer
    x = 396,912.16

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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.