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Finding the Third Proportional to 156,613.50 and 343,845

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Solution

The third proportional to 156,613.50 and 343,845 is: 754,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,613.50 : 343,845 = 343,845 : x
  2. Step 2: Convert to fraction form
    156,613.50/343,845 = 343,845/x
  3. Step 3: Cross multiply
    156,613.50x = 343,845 × 343,845
  4. Step 4: Simplify right side
    156,613.50x = 118,229,384,025
  5. Step 5: Solve for x
    x = 118,229,384,025/156,613.50
  6. Step 6: Final answer
    x = 754,911.83

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.