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Finding the Third Proportional to 103,223 and 226,745

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Solution

The third proportional to 103,223 and 226,745 is: 498,079.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,223 : 226,745 = 226,745 : x
  2. Step 2: Convert to fraction form
    103,223/226,745 = 226,745/x
  3. Step 3: Cross multiply
    103,223x = 226,745 × 226,745
  4. Step 4: Simplify right side
    103,223x = 51,413,295,025
  5. Step 5: Solve for x
    x = 51,413,295,025/103,223
  6. Step 6: Final answer
    x = 498,079.84

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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.