Finding the Third Proportional to 164,902.50 and 227,529
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Solution
The third proportional to 164,902.50 and 227,529 is: 313,939.73
Step by Step Solution
- Step 1: Write the proportion equation
164,902.50 : 227,529 = 227,529 : x - Step 2: Convert to fraction form
164,902.50/227,529 = 227,529/x - Step 3: Cross multiply
164,902.50x = 227,529 × 227,529 - Step 4: Simplify right side
164,902.50x = 51,769,445,841 - Step 5: Solve for x
x = 51,769,445,841/164,902.50 - Step 6: Final answer
x = 313,939.73
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.