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Finding the Third Proportional to 197,961.75 and 268,956

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Solution

The third proportional to 197,961.75 and 268,956 is: 365,410.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,961.75 : 268,956 = 268,956 : x
  2. Step 2: Convert to fraction form
    197,961.75/268,956 = 268,956/x
  3. Step 3: Cross multiply
    197,961.75x = 268,956 × 268,956
  4. Step 4: Simplify right side
    197,961.75x = 72,337,329,936
  5. Step 5: Solve for x
    x = 72,337,329,936/197,961.75
  6. Step 6: Final answer
    x = 365,410.64

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.