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Finding the Third Proportional to 227,344.50 and 339,612.75

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Solution

The third proportional to 227,344.50 and 339,612.75 is: 507,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,344.50 : 339,612.75 = 339,612.75 : x
  2. Step 2: Convert to fraction form
    227,344.50/339,612.75 = 339,612.75/x
  3. Step 3: Cross multiply
    227,344.50x = 339,612.75 × 339,612.75
  4. Step 4: Simplify right side
    227,344.50x = 115,336,819,962.56
  5. Step 5: Solve for x
    x = 115,336,819,962.56/227,344.50
  6. Step 6: Final answer
    x = 507,321.80

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