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Finding the Third Proportional to 106,296 and 233,325

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Solution

The third proportional to 106,296 and 233,325 is: 512,159.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,296 : 233,325 = 233,325 : x
  2. Step 2: Convert to fraction form
    106,296/233,325 = 233,325/x
  3. Step 3: Cross multiply
    106,296x = 233,325 × 233,325
  4. Step 4: Simplify right side
    106,296x = 54,440,555,625
  5. Step 5: Solve for x
    x = 54,440,555,625/106,296
  6. Step 6: Final answer
    x = 512,159.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.