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Finding the Third Proportional to 107,433.25 and 227,672.75

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Solution

The third proportional to 107,433.25 and 227,672.75 is: 482,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,433.25 : 227,672.75 = 227,672.75 : x
  2. Step 2: Convert to fraction form
    107,433.25/227,672.75 = 227,672.75/x
  3. Step 3: Cross multiply
    107,433.25x = 227,672.75 × 227,672.75
  4. Step 4: Simplify right side
    107,433.25x = 51,834,881,092.56
  5. Step 5: Solve for x
    x = 51,834,881,092.56/107,433.25
  6. Step 6: Final answer
    x = 482,484.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.