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Finding the Third Proportional to 173.81 and 419.44

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Solution

The third proportional to 173.81 and 419.44 is: 1,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.81 : 419.44 = 419.44 : x
  2. Step 2: Convert to fraction form
    173.81/419.44 = 419.44/x
  3. Step 3: Cross multiply
    173.81x = 419.44 × 419.44
  4. Step 4: Simplify right side
    173.81x = 175,927.82
  5. Step 5: Solve for x
    x = 175,927.82/173.81
  6. Step 6: Final answer
    x = 1,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.