Finding the Third Proportional to 132,184 and 189,336
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Solution
The third proportional to 132,184 and 189,336 is: 271,198.64
Step by Step Solution
- Step 1: Write the proportion equation
132,184 : 189,336 = 189,336 : x - Step 2: Convert to fraction form
132,184/189,336 = 189,336/x - Step 3: Cross multiply
132,184x = 189,336 × 189,336 - Step 4: Simplify right side
132,184x = 35,848,120,896 - Step 5: Solve for x
x = 35,848,120,896/132,184 - Step 6: Final answer
x = 271,198.64
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.