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Finding the Third Proportional to 107,272 and 231,405

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Solution

The third proportional to 107,272 and 231,405 is: 499,182.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,272 : 231,405 = 231,405 : x
  2. Step 2: Convert to fraction form
    107,272/231,405 = 231,405/x
  3. Step 3: Cross multiply
    107,272x = 231,405 × 231,405
  4. Step 4: Simplify right side
    107,272x = 53,548,274,025
  5. Step 5: Solve for x
    x = 53,548,274,025/107,272
  6. Step 6: Final answer
    x = 499,182.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.