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Finding the Third Proportional to 199,530 and 299,286

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Solution

The third proportional to 199,530 and 299,286 is: 448,915.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,530 : 299,286 = 299,286 : x
  2. Step 2: Convert to fraction form
    199,530/299,286 = 299,286/x
  3. Step 3: Cross multiply
    199,530x = 299,286 × 299,286
  4. Step 4: Simplify right side
    199,530x = 89,572,109,796
  5. Step 5: Solve for x
    x = 89,572,109,796/199,530
  6. Step 6: Final answer
    x = 448,915.50

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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.