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Finding the Third Proportional to 197,954 and 440,068

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Solution

The third proportional to 197,954 and 440,068 is: 978,307.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,954 : 440,068 = 440,068 : x
  2. Step 2: Convert to fraction form
    197,954/440,068 = 440,068/x
  3. Step 3: Cross multiply
    197,954x = 440,068 × 440,068
  4. Step 4: Simplify right side
    197,954x = 193,659,844,624
  5. Step 5: Solve for x
    x = 193,659,844,624/197,954
  6. Step 6: Final answer
    x = 978,307.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.