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Finding the Third Proportional to 202,299 and 442,694.75

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Solution

The third proportional to 202,299 and 442,694.75 is: 968,757.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,299 : 442,694.75 = 442,694.75 : x
  2. Step 2: Convert to fraction form
    202,299/442,694.75 = 442,694.75/x
  3. Step 3: Cross multiply
    202,299x = 442,694.75 × 442,694.75
  4. Step 4: Simplify right side
    202,299x = 195,978,641,677.56
  5. Step 5: Solve for x
    x = 195,978,641,677.56/202,299
  6. Step 6: Final answer
    x = 968,757.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.