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Finding the Third Proportional to 103,703 and 227,494

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Solution

The third proportional to 103,703 and 227,494 is: 499,055.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,703 : 227,494 = 227,494 : x
  2. Step 2: Convert to fraction form
    103,703/227,494 = 227,494/x
  3. Step 3: Cross multiply
    103,703x = 227,494 × 227,494
  4. Step 4: Simplify right side
    103,703x = 51,753,520,036
  5. Step 5: Solve for x
    x = 51,753,520,036/103,703
  6. Step 6: Final answer
    x = 499,055.19

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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.