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Finding the Third Proportional to 227,347.50 and 339,617.25

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Solution

The third proportional to 227,347.50 and 339,617.25 is: 507,328.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,347.50 : 339,617.25 = 339,617.25 : x
  2. Step 2: Convert to fraction form
    227,347.50/339,617.25 = 339,617.25/x
  3. Step 3: Cross multiply
    227,347.50x = 339,617.25 × 339,617.25
  4. Step 4: Simplify right side
    227,347.50x = 115,339,876,497.56
  5. Step 5: Solve for x
    x = 115,339,876,497.56/227,347.50
  6. Step 6: Final answer
    x = 507,328.55

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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.