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Finding the Third Proportional to 199,032 and 298,425

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Solution

The third proportional to 199,032 and 298,425 is: 447,453.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,032 : 298,425 = 298,425 : x
  2. Step 2: Convert to fraction form
    199,032/298,425 = 298,425/x
  3. Step 3: Cross multiply
    199,032x = 298,425 × 298,425
  4. Step 4: Simplify right side
    199,032x = 89,057,480,625
  5. Step 5: Solve for x
    x = 89,057,480,625/199,032
  6. Step 6: Final answer
    x = 447,453.08

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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.