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Finding the Third Proportional to 104,892 and 224,616

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Solution

The third proportional to 104,892 and 224,616 is: 480,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,892 : 224,616 = 224,616 : x
  2. Step 2: Convert to fraction form
    104,892/224,616 = 224,616/x
  3. Step 3: Cross multiply
    104,892x = 224,616 × 224,616
  4. Step 4: Simplify right side
    104,892x = 50,452,347,456
  5. Step 5: Solve for x
    x = 50,452,347,456/104,892
  6. Step 6: Final answer
    x = 480,993.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.