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Finding the Third Proportional to 227.18 and 340.77

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Solution

The third proportional to 227.18 and 340.77 is: 511.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.18 : 340.77 = 340.77 : x
  2. Step 2: Convert to fraction form
    227.18/340.77 = 340.77/x
  3. Step 3: Cross multiply
    227.18x = 340.77 × 340.77
  4. Step 4: Simplify right side
    227.18x = 116,123.87
  5. Step 5: Solve for x
    x = 116,123.87/227.18
  6. Step 6: Final answer
    x = 511.15

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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.