Finding the Third Proportional to 145,716 and 231,702
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Solution
The third proportional to 145,716 and 231,702 is: 368,427.74
Step by Step Solution
- Step 1: Write the proportion equation
145,716 : 231,702 = 231,702 : x - Step 2: Convert to fraction form
145,716/231,702 = 231,702/x - Step 3: Cross multiply
145,716x = 231,702 × 231,702 - Step 4: Simplify right side
145,716x = 53,685,816,804 - Step 5: Solve for x
x = 53,685,816,804/145,716 - Step 6: Final answer
x = 368,427.74
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.