Finding the Third Proportional to 189 and 243
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Solution
The third proportional to 189 and 243 is: 312.43
Step by Step Solution
- Step 1: Write the proportion equation
189 : 243 = 243 : x - Step 2: Convert to fraction form
189/243 = 243/x - Step 3: Cross multiply
189x = 243 × 243 - Step 4: Simplify right side
189x = 59,049 - Step 5: Solve for x
x = 59,049/189 - Step 6: Final answer
x = 312.43
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Why These Related Problems?
These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.