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Finding the Third Proportional to 103,995 and 224,016

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Solution

The third proportional to 103,995 and 224,016 is: 482,553.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,995 : 224,016 = 224,016 : x
  2. Step 2: Convert to fraction form
    103,995/224,016 = 224,016/x
  3. Step 3: Cross multiply
    103,995x = 224,016 × 224,016
  4. Step 4: Simplify right side
    103,995x = 50,183,168,256
  5. Step 5: Solve for x
    x = 50,183,168,256/103,995
  6. Step 6: Final answer
    x = 482,553.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.