Finding the Third Proportional to 100,226 and 233,051
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Solution
The third proportional to 100,226 and 233,051 is: 541,902.99
Step by Step Solution
- Step 1: Write the proportion equation
100,226 : 233,051 = 233,051 : x - Step 2: Convert to fraction form
100,226/233,051 = 233,051/x - Step 3: Cross multiply
100,226x = 233,051 × 233,051 - Step 4: Simplify right side
100,226x = 54,312,768,601 - Step 5: Solve for x
x = 54,312,768,601/100,226 - Step 6: Final answer
x = 541,902.99
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Why These Related Problems?
These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.