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Finding the Third Proportional to 197,400 and 281,337

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Solution

The third proportional to 197,400 and 281,337 is: 400,965.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,400 : 281,337 = 281,337 : x
  2. Step 2: Convert to fraction form
    197,400/281,337 = 281,337/x
  3. Step 3: Cross multiply
    197,400x = 281,337 × 281,337
  4. Step 4: Simplify right side
    197,400x = 79,150,507,569
  5. Step 5: Solve for x
    x = 79,150,507,569/197,400
  6. Step 6: Final answer
    x = 400,965.08

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.