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Finding the Third Proportional to 156,622 and 341,188

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Solution

The third proportional to 156,622 and 341,188 is: 743,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,622 : 341,188 = 341,188 : x
  2. Step 2: Convert to fraction form
    156,622/341,188 = 341,188/x
  3. Step 3: Cross multiply
    156,622x = 341,188 × 341,188
  4. Step 4: Simplify right side
    156,622x = 116,409,251,344
  5. Step 5: Solve for x
    x = 116,409,251,344/156,622
  6. Step 6: Final answer
    x = 743,249.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.