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Finding the Third Proportional to 104,103 and 228,662

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Solution

The third proportional to 104,103 and 228,662 is: 502,255.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,103 : 228,662 = 228,662 : x
  2. Step 2: Convert to fraction form
    104,103/228,662 = 228,662/x
  3. Step 3: Cross multiply
    104,103x = 228,662 × 228,662
  4. Step 4: Simplify right side
    104,103x = 52,286,310,244
  5. Step 5: Solve for x
    x = 52,286,310,244/104,103
  6. Step 6: Final answer
    x = 502,255.56

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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.