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Finding the Third Proportional to 202,256 and 305,924

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Solution

The third proportional to 202,256 and 305,924 is: 462,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,256 : 305,924 = 305,924 : x
  2. Step 2: Convert to fraction form
    202,256/305,924 = 305,924/x
  3. Step 3: Cross multiply
    202,256x = 305,924 × 305,924
  4. Step 4: Simplify right side
    202,256x = 93,589,493,776
  5. Step 5: Solve for x
    x = 93,589,493,776/202,256
  6. Step 6: Final answer
    x = 462,727.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.