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Finding the Third Proportional to 106,512 and 231,816

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Solution

The third proportional to 106,512 and 231,816 is: 504,531.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,512 : 231,816 = 231,816 : x
  2. Step 2: Convert to fraction form
    106,512/231,816 = 231,816/x
  3. Step 3: Cross multiply
    106,512x = 231,816 × 231,816
  4. Step 4: Simplify right side
    106,512x = 53,738,657,856
  5. Step 5: Solve for x
    x = 53,738,657,856/106,512
  6. Step 6: Final answer
    x = 504,531.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.