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Finding the Third Proportional to 156,986 and 224,198

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Solution

The third proportional to 156,986 and 224,198 is: 320,186.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,986 : 224,198 = 224,198 : x
  2. Step 2: Convert to fraction form
    156,986/224,198 = 224,198/x
  3. Step 3: Cross multiply
    156,986x = 224,198 × 224,198
  4. Step 4: Simplify right side
    156,986x = 50,264,743,204
  5. Step 5: Solve for x
    x = 50,264,743,204/156,986
  6. Step 6: Final answer
    x = 320,186.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.