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Finding the Third Proportional to 197,452 and 281,408

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Solution

The third proportional to 197,452 and 281,408 is: 401,061.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,452 : 281,408 = 281,408 : x
  2. Step 2: Convert to fraction form
    197,452/281,408 = 281,408/x
  3. Step 3: Cross multiply
    197,452x = 281,408 × 281,408
  4. Step 4: Simplify right side
    197,452x = 79,190,462,464
  5. Step 5: Solve for x
    x = 79,190,462,464/197,452
  6. Step 6: Final answer
    x = 401,061.84

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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.