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Finding the Third Proportional to 361.13 and 493.13

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Solution

The third proportional to 361.13 and 493.13 is: 673.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.13 : 493.13 = 493.13 : x
  2. Step 2: Convert to fraction form
    361.13/493.13 = 493.13/x
  3. Step 3: Cross multiply
    361.13x = 493.13 × 493.13
  4. Step 4: Simplify right side
    361.13x = 243,172.27
  5. Step 5: Solve for x
    x = 243,172.27/361.13
  6. Step 6: Final answer
    x = 673.37

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Why These Related Problems?

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