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Finding the Third Proportional to 365 and 550.88

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Solution

The third proportional to 365 and 550.88 is: 831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    365 : 550.88 = 550.88 : x
  2. Step 2: Convert to fraction form
    365/550.88 = 550.88/x
  3. Step 3: Cross multiply
    365x = 550.88 × 550.88
  4. Step 4: Simplify right side
    365x = 303,463.27
  5. Step 5: Solve for x
    x = 303,463.27/365
  6. Step 6: Final answer
    x = 831.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.