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Finding the Third Proportional to 103,928 and 224,462

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Solution

The third proportional to 103,928 and 224,462 is: 484,789.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,928 : 224,462 = 224,462 : x
  2. Step 2: Convert to fraction form
    103,928/224,462 = 224,462/x
  3. Step 3: Cross multiply
    103,928x = 224,462 × 224,462
  4. Step 4: Simplify right side
    103,928x = 50,383,189,444
  5. Step 5: Solve for x
    x = 50,383,189,444/103,928
  6. Step 6: Final answer
    x = 484,789.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.