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Finding the Third Proportional to 272.06 and 356.44

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Solution

The third proportional to 272.06 and 356.44 is: 466.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.06 : 356.44 = 356.44 : x
  2. Step 2: Convert to fraction form
    272.06/356.44 = 356.44/x
  3. Step 3: Cross multiply
    272.06x = 356.44 × 356.44
  4. Step 4: Simplify right side
    272.06x = 127,047.69
  5. Step 5: Solve for x
    x = 127,047.69/272.06
  6. Step 6: Final answer
    x = 466.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.