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Finding the Third Proportional to 227.06 and 546.56

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Solution

The third proportional to 227.06 and 546.56 is: 1,315.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 546.56 = 546.56 : x
  2. Step 2: Convert to fraction form
    227.06/546.56 = 546.56/x
  3. Step 3: Cross multiply
    227.06x = 546.56 × 546.56
  4. Step 4: Simplify right side
    227.06x = 298,730.57
  5. Step 5: Solve for x
    x = 298,730.57/227.06
  6. Step 6: Final answer
    x = 1,315.63

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.