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Finding the Third Proportional to 275.81 and 427.41

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Solution

The third proportional to 275.81 and 427.41 is: 662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 427.41 = 427.41 : x
  2. Step 2: Convert to fraction form
    275.81/427.41 = 427.41/x
  3. Step 3: Cross multiply
    275.81x = 427.41 × 427.41
  4. Step 4: Simplify right side
    275.81x = 182,676.10
  5. Step 5: Solve for x
    x = 182,676.10/275.81
  6. Step 6: Final answer
    x = 662.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.