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Finding the Third Proportional to 197,666 and 295,956

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Solution

The third proportional to 197,666 and 295,956 is: 443,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,666 : 295,956 = 295,956 : x
  2. Step 2: Convert to fraction form
    197,666/295,956 = 295,956/x
  3. Step 3: Cross multiply
    197,666x = 295,956 × 295,956
  4. Step 4: Simplify right side
    197,666x = 87,589,953,936
  5. Step 5: Solve for x
    x = 87,589,953,936/197,666
  6. Step 6: Final answer
    x = 443,120.99

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