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Finding the Third Proportional to 197,652 and 295,936

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Solution

The third proportional to 197,652 and 295,936 is: 443,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,652 : 295,936 = 295,936 : x
  2. Step 2: Convert to fraction form
    197,652/295,936 = 295,936/x
  3. Step 3: Cross multiply
    197,652x = 295,936 × 295,936
  4. Step 4: Simplify right side
    197,652x = 87,578,116,096
  5. Step 5: Solve for x
    x = 87,578,116,096/197,652
  6. Step 6: Final answer
    x = 443,092.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.