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Finding the Third Proportional to 224,558 and 339,164

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Solution

The third proportional to 224,558 and 339,164 is: 512,260.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,558 : 339,164 = 339,164 : x
  2. Step 2: Convert to fraction form
    224,558/339,164 = 339,164/x
  3. Step 3: Cross multiply
    224,558x = 339,164 × 339,164
  4. Step 4: Simplify right side
    224,558x = 115,032,218,896
  5. Step 5: Solve for x
    x = 115,032,218,896/224,558
  6. Step 6: Final answer
    x = 512,260.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.