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Finding the Third Proportional to 108,367 and 231,755

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Solution

The third proportional to 108,367 and 231,755 is: 495,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,367 : 231,755 = 231,755 : x
  2. Step 2: Convert to fraction form
    108,367/231,755 = 231,755/x
  3. Step 3: Cross multiply
    108,367x = 231,755 × 231,755
  4. Step 4: Simplify right side
    108,367x = 53,710,380,025
  5. Step 5: Solve for x
    x = 53,710,380,025/108,367
  6. Step 6: Final answer
    x = 495,634.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.