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Finding the Third Proportional to 274.50 and 367.88

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Solution

The third proportional to 274.50 and 367.88 is: 493.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.50 : 367.88 = 367.88 : x
  2. Step 2: Convert to fraction form
    274.50/367.88 = 367.88/x
  3. Step 3: Cross multiply
    274.50x = 367.88 × 367.88
  4. Step 4: Simplify right side
    274.50x = 135,332.02
  5. Step 5: Solve for x
    x = 135,332.02/274.50
  6. Step 6: Final answer
    x = 493.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.