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Finding the Third Proportional to 202,144 and 313,872

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Solution

The third proportional to 202,144 and 313,872 is: 487,353.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,144 : 313,872 = 313,872 : x
  2. Step 2: Convert to fraction form
    202,144/313,872 = 313,872/x
  3. Step 3: Cross multiply
    202,144x = 313,872 × 313,872
  4. Step 4: Simplify right side
    202,144x = 98,515,632,384
  5. Step 5: Solve for x
    x = 98,515,632,384/202,144
  6. Step 6: Final answer
    x = 487,353.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.