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Finding the Third Proportional to 202,251 and 449,394.75

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Solution

The third proportional to 202,251 and 449,394.75 is: 998,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,251 : 449,394.75 = 449,394.75 : x
  2. Step 2: Convert to fraction form
    202,251/449,394.75 = 449,394.75/x
  3. Step 3: Cross multiply
    202,251x = 449,394.75 × 449,394.75
  4. Step 4: Simplify right side
    202,251x = 201,955,641,327.56
  5. Step 5: Solve for x
    x = 201,955,641,327.56/202,251
  6. Step 6: Final answer
    x = 998,539.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.