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Finding the Third Proportional to 106,406 and 228,491

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Solution

The third proportional to 106,406 and 228,491 is: 490,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,406 : 228,491 = 228,491 : x
  2. Step 2: Convert to fraction form
    106,406/228,491 = 228,491/x
  3. Step 3: Cross multiply
    106,406x = 228,491 × 228,491
  4. Step 4: Simplify right side
    106,406x = 52,208,137,081
  5. Step 5: Solve for x
    x = 52,208,137,081/106,406
  6. Step 6: Final answer
    x = 490,650.31

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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.