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Finding the Third Proportional to 192,846 and 298,559

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Solution

The third proportional to 192,846 and 298,559 is: 462,221.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,846 : 298,559 = 298,559 : x
  2. Step 2: Convert to fraction form
    192,846/298,559 = 298,559/x
  3. Step 3: Cross multiply
    192,846x = 298,559 × 298,559
  4. Step 4: Simplify right side
    192,846x = 89,137,476,481
  5. Step 5: Solve for x
    x = 89,137,476,481/192,846
  6. Step 6: Final answer
    x = 462,221.03

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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.