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Finding the Third Proportional to 274.88 and 377.63

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Solution

The third proportional to 274.88 and 377.63 is: 518.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.88 : 377.63 = 377.63 : x
  2. Step 2: Convert to fraction form
    274.88/377.63 = 377.63/x
  3. Step 3: Cross multiply
    274.88x = 377.63 × 377.63
  4. Step 4: Simplify right side
    274.88x = 142,600.64
  5. Step 5: Solve for x
    x = 142,600.64/274.88
  6. Step 6: Final answer
    x = 518.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.