Finding the Third Proportional to 107,268.75 and 231,405.75
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Solution
The third proportional to 107,268.75 and 231,405.75 is: 499,200.57
Step by Step Solution
- Step 1: Write the proportion equation
107,268.75 : 231,405.75 = 231,405.75 : x - Step 2: Convert to fraction form
107,268.75/231,405.75 = 231,405.75/x - Step 3: Cross multiply
107,268.75x = 231,405.75 × 231,405.75 - Step 4: Simplify right side
107,268.75x = 53,548,621,133.06 - Step 5: Solve for x
x = 53,548,621,133.06/107,268.75 - Step 6: Final answer
x = 499,200.57
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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.