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Finding the Third Proportional to 227,716 and 363,782

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Solution

The third proportional to 227,716 and 363,782 is: 581,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,716 : 363,782 = 363,782 : x
  2. Step 2: Convert to fraction form
    227,716/363,782 = 363,782/x
  3. Step 3: Cross multiply
    227,716x = 363,782 × 363,782
  4. Step 4: Simplify right side
    227,716x = 132,337,343,524
  5. Step 5: Solve for x
    x = 132,337,343,524/227,716
  6. Step 6: Final answer
    x = 581,150.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.