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Finding the Third Proportional to 103,977 and 227,745

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Solution

The third proportional to 103,977 and 227,745 is: 498,839.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,977 : 227,745 = 227,745 : x
  2. Step 2: Convert to fraction form
    103,977/227,745 = 227,745/x
  3. Step 3: Cross multiply
    103,977x = 227,745 × 227,745
  4. Step 4: Simplify right side
    103,977x = 51,867,785,025
  5. Step 5: Solve for x
    x = 51,867,785,025/103,977
  6. Step 6: Final answer
    x = 498,839.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.