Finding the Third Proportional to 189.21 and 452.14
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Solution
The third proportional to 189.21 and 452.14 is: 1,080.46
Step by Step Solution
- Step 1: Write the proportion equation
189.21 : 452.14 = 452.14 : x - Step 2: Convert to fraction form
189.21/452.14 = 452.14/x - Step 3: Cross multiply
189.21x = 452.14 × 452.14 - Step 4: Simplify right side
189.21x = 204,434.68 - Step 5: Solve for x
x = 204,434.68/189.21 - Step 6: Final answer
x = 1,080.46
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Why These Related Problems?
These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.