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Finding the Third Proportional to 226,515.75 and 339,754.50

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Solution

The third proportional to 226,515.75 and 339,754.50 is: 509,603.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,515.75 : 339,754.50 = 339,754.50 : x
  2. Step 2: Convert to fraction form
    226,515.75/339,754.50 = 339,754.50/x
  3. Step 3: Cross multiply
    226,515.75x = 339,754.50 × 339,754.50
  4. Step 4: Simplify right side
    226,515.75x = 115,433,120,270.25
  5. Step 5: Solve for x
    x = 115,433,120,270.25/226,515.75
  6. Step 6: Final answer
    x = 509,603.06

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Why These Related Problems?

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