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Finding the Third Proportional to 104,081 and 228,898

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Solution

The third proportional to 104,081 and 228,898 is: 503,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,081 : 228,898 = 228,898 : x
  2. Step 2: Convert to fraction form
    104,081/228,898 = 228,898/x
  3. Step 3: Cross multiply
    104,081x = 228,898 × 228,898
  4. Step 4: Simplify right side
    104,081x = 52,394,294,404
  5. Step 5: Solve for x
    x = 52,394,294,404/104,081
  6. Step 6: Final answer
    x = 503,399.22

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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.