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Finding the Third Proportional to 106,233.75 and 228,255.75

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Solution

The third proportional to 106,233.75 and 228,255.75 is: 490,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,233.75 : 228,255.75 = 228,255.75 : x
  2. Step 2: Convert to fraction form
    106,233.75/228,255.75 = 228,255.75/x
  3. Step 3: Cross multiply
    106,233.75x = 228,255.75 × 228,255.75
  4. Step 4: Simplify right side
    106,233.75x = 52,100,687,408.06
  5. Step 5: Solve for x
    x = 52,100,687,408.06/106,233.75
  6. Step 6: Final answer
    x = 490,434.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.