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Finding the Third Proportional to 166,163.63 and 362,403.56

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Solution

The third proportional to 166,163.63 and 362,403.56 is: 790,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,163.63 : 362,403.56 = 362,403.56 : x
  2. Step 2: Convert to fraction form
    166,163.63/362,403.56 = 362,403.56/x
  3. Step 3: Cross multiply
    166,163.63x = 362,403.56 × 362,403.56
  4. Step 4: Simplify right side
    166,163.63x = 131,336,342,112.69
  5. Step 5: Solve for x
    x = 131,336,342,112.69/166,163.63
  6. Step 6: Final answer
    x = 790,403.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.