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Finding the Third Proportional to 361.65 and 542.48

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Solution

The third proportional to 361.65 and 542.48 is: 813.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.65 : 542.48 = 542.48 : x
  2. Step 2: Convert to fraction form
    361.65/542.48 = 542.48/x
  3. Step 3: Cross multiply
    361.65x = 542.48 × 542.48
  4. Step 4: Simplify right side
    361.65x = 294,282.94
  5. Step 5: Solve for x
    x = 294,282.94/361.65
  6. Step 6: Final answer
    x = 813.72

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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.