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Finding the Third Proportional to 227,016 and 342,252

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Solution

The third proportional to 227,016 and 342,252 is: 515,983.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,016 : 342,252 = 342,252 : x
  2. Step 2: Convert to fraction form
    227,016/342,252 = 342,252/x
  3. Step 3: Cross multiply
    227,016x = 342,252 × 342,252
  4. Step 4: Simplify right side
    227,016x = 117,136,431,504
  5. Step 5: Solve for x
    x = 117,136,431,504/227,016
  6. Step 6: Final answer
    x = 515,983.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.