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Finding the Third Proportional to 156,196 and 331,016

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Solution

The third proportional to 156,196 and 331,016 is: 701,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,196 : 331,016 = 331,016 : x
  2. Step 2: Convert to fraction form
    156,196/331,016 = 331,016/x
  3. Step 3: Cross multiply
    156,196x = 331,016 × 331,016
  4. Step 4: Simplify right side
    156,196x = 109,571,592,256
  5. Step 5: Solve for x
    x = 109,571,592,256/156,196
  6. Step 6: Final answer
    x = 701,500.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.