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Finding the Third Proportional to 199,233 and 299,601

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Solution

The third proportional to 199,233 and 299,601 is: 450,531.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,233 : 299,601 = 299,601 : x
  2. Step 2: Convert to fraction form
    199,233/299,601 = 299,601/x
  3. Step 3: Cross multiply
    199,233x = 299,601 × 299,601
  4. Step 4: Simplify right side
    199,233x = 89,760,759,201
  5. Step 5: Solve for x
    x = 89,760,759,201/199,233
  6. Step 6: Final answer
    x = 450,531.58

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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.