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Finding the Third Proportional to 202,042 and 303,063

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Solution

The third proportional to 202,042 and 303,063 is: 454,594.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,042 : 303,063 = 303,063 : x
  2. Step 2: Convert to fraction form
    202,042/303,063 = 303,063/x
  3. Step 3: Cross multiply
    202,042x = 303,063 × 303,063
  4. Step 4: Simplify right side
    202,042x = 91,847,181,969
  5. Step 5: Solve for x
    x = 91,847,181,969/202,042
  6. Step 6: Final answer
    x = 454,594.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.