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Finding the Third Proportional to 197,435 and 281,384

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Solution

The third proportional to 197,435 and 281,384 is: 401,027.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,435 : 281,384 = 281,384 : x
  2. Step 2: Convert to fraction form
    197,435/281,384 = 281,384/x
  3. Step 3: Cross multiply
    197,435x = 281,384 × 281,384
  4. Step 4: Simplify right side
    197,435x = 79,176,955,456
  5. Step 5: Solve for x
    x = 79,176,955,456/197,435
  6. Step 6: Final answer
    x = 401,027.96

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Why These Related Problems?

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