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Finding the Third Proportional to 107,064 and 230,571

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Solution

The third proportional to 107,064 and 230,571 is: 496,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,064 : 230,571 = 230,571 : x
  2. Step 2: Convert to fraction form
    107,064/230,571 = 230,571/x
  3. Step 3: Cross multiply
    107,064x = 230,571 × 230,571
  4. Step 4: Simplify right side
    107,064x = 53,162,986,041
  5. Step 5: Solve for x
    x = 53,162,986,041/107,064
  6. Step 6: Final answer
    x = 496,553.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.