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Finding the Third Proportional to 197,647 and 295,930

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Solution

The third proportional to 197,647 and 295,930 is: 443,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,647 : 295,930 = 295,930 : x
  2. Step 2: Convert to fraction form
    197,647/295,930 = 295,930/x
  3. Step 3: Cross multiply
    197,647x = 295,930 × 295,930
  4. Step 4: Simplify right side
    197,647x = 87,574,564,900
  5. Step 5: Solve for x
    x = 87,574,564,900/197,647
  6. Step 6: Final answer
    x = 443,085.73

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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.