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Finding the Third Proportional to 105,344 and 231,296

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Solution

The third proportional to 105,344 and 231,296 is: 507,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,344 : 231,296 = 231,296 : x
  2. Step 2: Convert to fraction form
    105,344/231,296 = 231,296/x
  3. Step 3: Cross multiply
    105,344x = 231,296 × 231,296
  4. Step 4: Simplify right side
    105,344x = 53,497,839,616
  5. Step 5: Solve for x
    x = 53,497,839,616/105,344
  6. Step 6: Final answer
    x = 507,839.46

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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.