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Finding the Third Proportional to 361.36 and 541.03

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Solution

The third proportional to 361.36 and 541.03 is: 810.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.36 : 541.03 = 541.03 : x
  2. Step 2: Convert to fraction form
    361.36/541.03 = 541.03/x
  3. Step 3: Cross multiply
    361.36x = 541.03 × 541.03
  4. Step 4: Simplify right side
    361.36x = 292,714.81
  5. Step 5: Solve for x
    x = 292,714.81/361.36
  6. Step 6: Final answer
    x = 810.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.