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Finding the Third Proportional to 156,099.75 and 338,443.88

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Solution

The third proportional to 156,099.75 and 338,443.88 is: 733,788.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,099.75 : 338,443.88 = 338,443.88 : x
  2. Step 2: Convert to fraction form
    156,099.75/338,443.88 = 338,443.88/x
  3. Step 3: Cross multiply
    156,099.75x = 338,443.88 × 338,443.88
  4. Step 4: Simplify right side
    156,099.75x = 114,544,256,525.02
  5. Step 5: Solve for x
    x = 114,544,256,525.02/156,099.75
  6. Step 6: Final answer
    x = 733,788.85

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.