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Finding the Third Proportional to 224,524.41 and 339,110.30

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Solution

The third proportional to 224,524.41 and 339,110.30 is: 512,175.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,524.41 : 339,110.30 = 339,110.30 : x
  2. Step 2: Convert to fraction form
    224,524.41/339,110.30 = 339,110.30/x
  3. Step 3: Cross multiply
    224,524.41x = 339,110.30 × 339,110.30
  4. Step 4: Simplify right side
    224,524.41x = 114,995,793,446.65
  5. Step 5: Solve for x
    x = 114,995,793,446.65/224,524.41
  6. Step 6: Final answer
    x = 512,175.03

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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.