Finding the Third Proportional to 107,272 and 231,405
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Solution
The third proportional to 107,272 and 231,405 is: 499,182.21
Step by Step Solution
- Step 1: Write the proportion equation
107,272 : 231,405 = 231,405 : x - Step 2: Convert to fraction form
107,272/231,405 = 231,405/x - Step 3: Cross multiply
107,272x = 231,405 × 231,405 - Step 4: Simplify right side
107,272x = 53,548,274,025 - Step 5: Solve for x
x = 53,548,274,025/107,272 - Step 6: Final answer
x = 499,182.21
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.