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Finding the Third Proportional to 105,411 and 226,941

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Solution

The third proportional to 105,411 and 226,941 is: 488,584.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,411 : 226,941 = 226,941 : x
  2. Step 2: Convert to fraction form
    105,411/226,941 = 226,941/x
  3. Step 3: Cross multiply
    105,411x = 226,941 × 226,941
  4. Step 4: Simplify right side
    105,411x = 51,502,217,481
  5. Step 5: Solve for x
    x = 51,502,217,481/105,411
  6. Step 6: Final answer
    x = 488,584.85

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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.