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Finding the Third Proportional to 196,592 and 296,512

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Solution

The third proportional to 196,592 and 296,512 is: 447,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,592 : 296,512 = 296,512 : x
  2. Step 2: Convert to fraction form
    196,592/296,512 = 296,512/x
  3. Step 3: Cross multiply
    196,592x = 296,512 × 296,512
  4. Step 4: Simplify right side
    196,592x = 87,919,366,144
  5. Step 5: Solve for x
    x = 87,919,366,144/196,592
  6. Step 6: Final answer
    x = 447,217.42

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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.