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Finding the Third Proportional to 202,965.75 and 361,644.75

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Solution

The third proportional to 202,965.75 and 361,644.75 is: 644,379.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.75 : 361,644.75 = 361,644.75 : x
  2. Step 2: Convert to fraction form
    202,965.75/361,644.75 = 361,644.75/x
  3. Step 3: Cross multiply
    202,965.75x = 361,644.75 × 361,644.75
  4. Step 4: Simplify right side
    202,965.75x = 130,786,925,202.56
  5. Step 5: Solve for x
    x = 130,786,925,202.56/202,965.75
  6. Step 6: Final answer
    x = 644,379.29

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.