Finding the Third Proportional to 227,722.50 and 334,194
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Solution
The third proportional to 227,722.50 and 334,194 is: 490,446.18
Step by Step Solution
- Step 1: Write the proportion equation
227,722.50 : 334,194 = 334,194 : x - Step 2: Convert to fraction form
227,722.50/334,194 = 334,194/x - Step 3: Cross multiply
227,722.50x = 334,194 × 334,194 - Step 4: Simplify right side
227,722.50x = 111,685,629,636 - Step 5: Solve for x
x = 111,685,629,636/227,722.50 - Step 6: Final answer
x = 490,446.18
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.