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Finding the Third Proportional to 75,244.38 and 156,716.44

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Solution

The third proportional to 75,244.38 and 156,716.44 is: 326,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,244.38 : 156,716.44 = 156,716.44 : x
  2. Step 2: Convert to fraction form
    75,244.38/156,716.44 = 156,716.44/x
  3. Step 3: Cross multiply
    75,244.38x = 156,716.44 × 156,716.44
  4. Step 4: Simplify right side
    75,244.38x = 24,560,041,782.69
  5. Step 5: Solve for x
    x = 24,560,041,782.69/75,244.38
  6. Step 6: Final answer
    x = 326,403.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.