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Finding the Third Proportional to 227.06 and 356.80

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Solution

The third proportional to 227.06 and 356.80 is: 560.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.06 : 356.80 = 356.80 : x
  2. Step 2: Convert to fraction form
    227.06/356.80 = 356.80/x
  3. Step 3: Cross multiply
    227.06x = 356.80 × 356.80
  4. Step 4: Simplify right side
    227.06x = 127,307.97
  5. Step 5: Solve for x
    x = 127,307.97/227.06
  6. Step 6: Final answer
    x = 560.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.