Finding the Third Proportional to 231,180 and 362,744
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Solution
The third proportional to 231,180 and 362,744 is: 569,180.77
Step by Step Solution
- Step 1: Write the proportion equation
231,180 : 362,744 = 362,744 : x - Step 2: Convert to fraction form
231,180/362,744 = 362,744/x - Step 3: Cross multiply
231,180x = 362,744 × 362,744 - Step 4: Simplify right side
231,180x = 131,583,209,536 - Step 5: Solve for x
x = 131,583,209,536/231,180 - Step 6: Final answer
x = 569,180.77
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.