Finding the Third Proportional to 107,314 and 233,082
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Solution
The third proportional to 107,314 and 233,082 is: 506,245.40
Step by Step Solution
- Step 1: Write the proportion equation
107,314 : 233,082 = 233,082 : x - Step 2: Convert to fraction form
107,314/233,082 = 233,082/x - Step 3: Cross multiply
107,314x = 233,082 × 233,082 - Step 4: Simplify right side
107,314x = 54,327,218,724 - Step 5: Solve for x
x = 54,327,218,724/107,314 - Step 6: Final answer
x = 506,245.40
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Why These Related Problems?
These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.