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Finding the Third Proportional to 196,452 and 296,325

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Solution

The third proportional to 196,452 and 296,325 is: 446,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,452 : 296,325 = 296,325 : x
  2. Step 2: Convert to fraction form
    196,452/296,325 = 296,325/x
  3. Step 3: Cross multiply
    196,452x = 296,325 × 296,325
  4. Step 4: Simplify right side
    196,452x = 87,808,505,625
  5. Step 5: Solve for x
    x = 87,808,505,625/196,452
  6. Step 6: Final answer
    x = 446,971.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.