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Finding the Third Proportional to 106,041 and 228,333

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Solution

The third proportional to 106,041 and 228,333 is: 491,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,041 : 228,333 = 228,333 : x
  2. Step 2: Convert to fraction form
    106,041/228,333 = 228,333/x
  3. Step 3: Cross multiply
    106,041x = 228,333 × 228,333
  4. Step 4: Simplify right side
    106,041x = 52,135,958,889
  5. Step 5: Solve for x
    x = 52,135,958,889/106,041
  6. Step 6: Final answer
    x = 491,658.50

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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.