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Finding the Third Proportional to 272.75 and 397.63

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Solution

The third proportional to 272.75 and 397.63 is: 579.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.75 : 397.63 = 397.63 : x
  2. Step 2: Convert to fraction form
    272.75/397.63 = 397.63/x
  3. Step 3: Cross multiply
    272.75x = 397.63 × 397.63
  4. Step 4: Simplify right side
    272.75x = 158,105.64
  5. Step 5: Solve for x
    x = 158,105.64/272.75
  6. Step 6: Final answer
    x = 579.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.