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Finding the Third Proportional to 367.14 and 498.66

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Solution

The third proportional to 367.14 and 498.66 is: 677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.14 : 498.66 = 498.66 : x
  2. Step 2: Convert to fraction form
    367.14/498.66 = 498.66/x
  3. Step 3: Cross multiply
    367.14x = 498.66 × 498.66
  4. Step 4: Simplify right side
    367.14x = 248,658.06
  5. Step 5: Solve for x
    x = 248,658.06/367.14
  6. Step 6: Final answer
    x = 677.29

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.