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Finding the Third Proportional to 366.19 and 650.95

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Solution

The third proportional to 366.19 and 650.95 is: 1,157.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.19 : 650.95 = 650.95 : x
  2. Step 2: Convert to fraction form
    366.19/650.95 = 650.95/x
  3. Step 3: Cross multiply
    366.19x = 650.95 × 650.95
  4. Step 4: Simplify right side
    366.19x = 423,739.97
  5. Step 5: Solve for x
    x = 423,739.97/366.19
  6. Step 6: Final answer
    x = 1,157.17

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.