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Finding the Third Proportional to 226,315.69 and 339,477.75

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Solution

The third proportional to 226,315.69 and 339,477.75 is: 509,222.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,315.69 : 339,477.75 = 339,477.75 : x
  2. Step 2: Convert to fraction form
    226,315.69/339,477.75 = 339,477.75/x
  3. Step 3: Cross multiply
    226,315.69x = 339,477.75 × 339,477.75
  4. Step 4: Simplify right side
    226,315.69x = 115,245,142,745.06
  5. Step 5: Solve for x
    x = 115,245,142,745.06/226,315.69
  6. Step 6: Final answer
    x = 509,222.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.