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Finding the Third Proportional to 108,208 and 232,512

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Solution

The third proportional to 108,208 and 232,512 is: 499,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,208 : 232,512 = 232,512 : x
  2. Step 2: Convert to fraction form
    108,208/232,512 = 232,512/x
  3. Step 3: Cross multiply
    108,208x = 232,512 × 232,512
  4. Step 4: Simplify right side
    108,208x = 54,061,830,144
  5. Step 5: Solve for x
    x = 54,061,830,144/108,208
  6. Step 6: Final answer
    x = 499,610.29

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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.