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Finding the Third Proportional to 103,231 and 226,145

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Solution

The third proportional to 103,231 and 226,145 is: 495,408.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,231 : 226,145 = 226,145 : x
  2. Step 2: Convert to fraction form
    103,231/226,145 = 226,145/x
  3. Step 3: Cross multiply
    103,231x = 226,145 × 226,145
  4. Step 4: Simplify right side
    103,231x = 51,141,561,025
  5. Step 5: Solve for x
    x = 51,141,561,025/103,231
  6. Step 6: Final answer
    x = 495,408.95

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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.