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Finding the Third Proportional to 196,208 and 294,912

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Solution

The third proportional to 196,208 and 294,912 is: 443,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,208 : 294,912 = 294,912 : x
  2. Step 2: Convert to fraction form
    196,208/294,912 = 294,912/x
  3. Step 3: Cross multiply
    196,208x = 294,912 × 294,912
  4. Step 4: Simplify right side
    196,208x = 86,973,087,744
  5. Step 5: Solve for x
    x = 86,973,087,744/196,208
  6. Step 6: Final answer
    x = 443,269.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.