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Finding the Third Proportional to 74,636.44 and 156,198.38

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Solution

The third proportional to 74,636.44 and 156,198.38 is: 326,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,636.44 : 156,198.38 = 156,198.38 : x
  2. Step 2: Convert to fraction form
    74,636.44/156,198.38 = 156,198.38/x
  3. Step 3: Cross multiply
    74,636.44x = 156,198.38 × 156,198.38
  4. Step 4: Simplify right side
    74,636.44x = 24,397,932,352.64
  5. Step 5: Solve for x
    x = 24,397,932,352.64/74,636.44
  6. Step 6: Final answer
    x = 326,890.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.