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Finding the Third Proportional to 224,619 and 339,267

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Solution

The third proportional to 224,619 and 339,267 is: 512,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,619 : 339,267 = 339,267 : x
  2. Step 2: Convert to fraction form
    224,619/339,267 = 339,267/x
  3. Step 3: Cross multiply
    224,619x = 339,267 × 339,267
  4. Step 4: Simplify right side
    224,619x = 115,102,097,289
  5. Step 5: Solve for x
    x = 115,102,097,289/224,619
  6. Step 6: Final answer
    x = 512,432.60

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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.