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Finding the Third Proportional to 227.81 and 342.98

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Solution

The third proportional to 227.81 and 342.98 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 342.98 = 342.98 : x
  2. Step 2: Convert to fraction form
    227.81/342.98 = 342.98/x
  3. Step 3: Cross multiply
    227.81x = 342.98 × 342.98
  4. Step 4: Simplify right side
    227.81x = 117,638.28
  5. Step 5: Solve for x
    x = 117,638.28/227.81
  6. Step 6: Final answer
    x = 516.38

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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.