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Finding the Third Proportional to 173.44 and 366.94

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Solution

The third proportional to 173.44 and 366.94 is: 776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.44 : 366.94 = 366.94 : x
  2. Step 2: Convert to fraction form
    173.44/366.94 = 366.94/x
  3. Step 3: Cross multiply
    173.44x = 366.94 × 366.94
  4. Step 4: Simplify right side
    173.44x = 134,643.13
  5. Step 5: Solve for x
    x = 134,643.13/173.44
  6. Step 6: Final answer
    x = 776.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.