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Finding the Third Proportional to 167,427 and 363,163.50

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Solution

The third proportional to 167,427 and 363,163.50 is: 787,732.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,427 : 363,163.50 = 363,163.50 : x
  2. Step 2: Convert to fraction form
    167,427/363,163.50 = 363,163.50/x
  3. Step 3: Cross multiply
    167,427x = 363,163.50 × 363,163.50
  4. Step 4: Simplify right side
    167,427x = 131,887,727,732.25
  5. Step 5: Solve for x
    x = 131,887,727,732.25/167,427
  6. Step 6: Final answer
    x = 787,732.73

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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.