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Finding the Third Proportional to 107,491 and 233,388

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Solution

The third proportional to 107,491 and 233,388 is: 506,739.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,491 : 233,388 = 233,388 : x
  2. Step 2: Convert to fraction form
    107,491/233,388 = 233,388/x
  3. Step 3: Cross multiply
    107,491x = 233,388 × 233,388
  4. Step 4: Simplify right side
    107,491x = 54,469,958,544
  5. Step 5: Solve for x
    x = 54,469,958,544/107,491
  6. Step 6: Final answer
    x = 506,739.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.