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Finding the Third Proportional to 199,048 and 308,188

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Solution

The third proportional to 199,048 and 308,188 is: 477,170.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,048 : 308,188 = 308,188 : x
  2. Step 2: Convert to fraction form
    199,048/308,188 = 308,188/x
  3. Step 3: Cross multiply
    199,048x = 308,188 × 308,188
  4. Step 4: Simplify right side
    199,048x = 94,979,843,344
  5. Step 5: Solve for x
    x = 94,979,843,344/199,048
  6. Step 6: Final answer
    x = 477,170.55

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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.