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Finding the Third Proportional to 189.75 and 416.44

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Solution

The third proportional to 189.75 and 416.44 is: 913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.75 : 416.44 = 416.44 : x
  2. Step 2: Convert to fraction form
    189.75/416.44 = 416.44/x
  3. Step 3: Cross multiply
    189.75x = 416.44 × 416.44
  4. Step 4: Simplify right side
    189.75x = 173,420.19
  5. Step 5: Solve for x
    x = 173,420.19/189.75
  6. Step 6: Final answer
    x = 913.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.