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Finding the Third Proportional to 196,589 and 296,508

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Solution

The third proportional to 196,589 and 296,508 is: 447,212.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,589 : 296,508 = 296,508 : x
  2. Step 2: Convert to fraction form
    196,589/296,508 = 296,508/x
  3. Step 3: Cross multiply
    196,589x = 296,508 × 296,508
  4. Step 4: Simplify right side
    196,589x = 87,916,994,064
  5. Step 5: Solve for x
    x = 87,916,994,064/196,589
  6. Step 6: Final answer
    x = 447,212.17

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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.