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Finding the Third Proportional to 368.44 and 553.56

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Solution

The third proportional to 368.44 and 553.56 is: 831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    368.44 : 553.56 = 553.56 : x
  2. Step 2: Convert to fraction form
    368.44/553.56 = 553.56/x
  3. Step 3: Cross multiply
    368.44x = 553.56 × 553.56
  4. Step 4: Simplify right side
    368.44x = 306,431.44
  5. Step 5: Solve for x
    x = 306,431.44/368.44
  6. Step 6: Final answer
    x = 831.71

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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.