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Finding the Third Proportional to 226,360 and 339,567

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Solution

The third proportional to 226,360 and 339,567 is: 509,391.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,360 : 339,567 = 339,567 : x
  2. Step 2: Convert to fraction form
    226,360/339,567 = 339,567/x
  3. Step 3: Cross multiply
    226,360x = 339,567 × 339,567
  4. Step 4: Simplify right side
    226,360x = 115,305,747,489
  5. Step 5: Solve for x
    x = 115,305,747,489/226,360
  6. Step 6: Final answer
    x = 509,391.00

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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.