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Finding the Third Proportional to 156,885.75 and 323,059.50

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Solution

The third proportional to 156,885.75 and 323,059.50 is: 665,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,885.75 : 323,059.50 = 323,059.50 : x
  2. Step 2: Convert to fraction form
    156,885.75/323,059.50 = 323,059.50/x
  3. Step 3: Cross multiply
    156,885.75x = 323,059.50 × 323,059.50
  4. Step 4: Simplify right side
    156,885.75x = 104,367,440,540.25
  5. Step 5: Solve for x
    x = 104,367,440,540.25/156,885.75
  6. Step 6: Final answer
    x = 665,244.87

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.