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Finding the Third Proportional to 202,659.75 and 440,993.25

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Solution

The third proportional to 202,659.75 and 440,993.25 is: 959,613.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,659.75 : 440,993.25 = 440,993.25 : x
  2. Step 2: Convert to fraction form
    202,659.75/440,993.25 = 440,993.25/x
  3. Step 3: Cross multiply
    202,659.75x = 440,993.25 × 440,993.25
  4. Step 4: Simplify right side
    202,659.75x = 194,475,046,545.56
  5. Step 5: Solve for x
    x = 194,475,046,545.56/202,659.75
  6. Step 6: Final answer
    x = 959,613.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.