Finding the Third Proportional to 181,235 and 409,471
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Solution
The third proportional to 181,235 and 409,471 is: 925,133.11
Step by Step Solution
- Step 1: Write the proportion equation
181,235 : 409,471 = 409,471 : x - Step 2: Convert to fraction form
181,235/409,471 = 409,471/x - Step 3: Cross multiply
181,235x = 409,471 × 409,471 - Step 4: Simplify right side
181,235x = 167,666,499,841 - Step 5: Solve for x
x = 167,666,499,841/181,235 - Step 6: Final answer
x = 925,133.11
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.