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Finding the Third Proportional to 196,668 and 298,629

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Solution

The third proportional to 196,668 and 298,629 is: 453,450.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,668 : 298,629 = 298,629 : x
  2. Step 2: Convert to fraction form
    196,668/298,629 = 298,629/x
  3. Step 3: Cross multiply
    196,668x = 298,629 × 298,629
  4. Step 4: Simplify right side
    196,668x = 89,179,279,641
  5. Step 5: Solve for x
    x = 89,179,279,641/196,668
  6. Step 6: Final answer
    x = 453,450.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.