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Finding the Third Proportional to 192,930 and 298,701

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Solution

The third proportional to 192,930 and 298,701 is: 462,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,930 : 298,701 = 298,701 : x
  2. Step 2: Convert to fraction form
    192,930/298,701 = 298,701/x
  3. Step 3: Cross multiply
    192,930x = 298,701 × 298,701
  4. Step 4: Simplify right side
    192,930x = 89,222,287,401
  5. Step 5: Solve for x
    x = 89,222,287,401/192,930
  6. Step 6: Final answer
    x = 462,459.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.