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Finding the Third Proportional to 103,638 and 227,580

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Solution

The third proportional to 103,638 and 227,580 is: 499,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 227,580 = 227,580 : x
  2. Step 2: Convert to fraction form
    103,638/227,580 = 227,580/x
  3. Step 3: Cross multiply
    103,638x = 227,580 × 227,580
  4. Step 4: Simplify right side
    103,638x = 51,792,656,400
  5. Step 5: Solve for x
    x = 51,792,656,400/103,638
  6. Step 6: Final answer
    x = 499,745.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.