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Finding the Third Proportional to 103,766 and 226,753

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Solution

The third proportional to 103,766 and 226,753 is: 495,508.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,766 : 226,753 = 226,753 : x
  2. Step 2: Convert to fraction form
    103,766/226,753 = 226,753/x
  3. Step 3: Cross multiply
    103,766x = 226,753 × 226,753
  4. Step 4: Simplify right side
    103,766x = 51,416,923,009
  5. Step 5: Solve for x
    x = 51,416,923,009/103,766
  6. Step 6: Final answer
    x = 495,508.38

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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.