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Finding the Third Proportional to 200,908.50 and 422,505

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Solution

The third proportional to 200,908.50 and 422,505 is: 888,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,908.50 : 422,505 = 422,505 : x
  2. Step 2: Convert to fraction form
    200,908.50/422,505 = 422,505/x
  3. Step 3: Cross multiply
    200,908.50x = 422,505 × 422,505
  4. Step 4: Simplify right side
    200,908.50x = 178,510,475,025
  5. Step 5: Solve for x
    x = 178,510,475,025/200,908.50
  6. Step 6: Final answer
    x = 888,516.29

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.