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Finding the Third Proportional to 197,456 and 281,414

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Solution

The third proportional to 197,456 and 281,414 is: 401,070.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,456 : 281,414 = 281,414 : x
  2. Step 2: Convert to fraction form
    197,456/281,414 = 281,414/x
  3. Step 3: Cross multiply
    197,456x = 281,414 × 281,414
  4. Step 4: Simplify right side
    197,456x = 79,193,839,396
  5. Step 5: Solve for x
    x = 79,193,839,396/197,456
  6. Step 6: Final answer
    x = 401,070.82

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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.