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Finding the Third Proportional to 227,360 and 339,634

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Solution

The third proportional to 227,360 and 339,634 is: 507,350.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,360 : 339,634 = 339,634 : x
  2. Step 2: Convert to fraction form
    227,360/339,634 = 339,634/x
  3. Step 3: Cross multiply
    227,360x = 339,634 × 339,634
  4. Step 4: Simplify right side
    227,360x = 115,351,253,956
  5. Step 5: Solve for x
    x = 115,351,253,956/227,360
  6. Step 6: Final answer
    x = 507,350.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.