Finding the Third Proportional to 76,750 and 157,302
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Solution
The third proportional to 76,750 and 157,302 is: 322,396.34
Step by Step Solution
- Step 1: Write the proportion equation
76,750 : 157,302 = 157,302 : x - Step 2: Convert to fraction form
76,750/157,302 = 157,302/x - Step 3: Cross multiply
76,750x = 157,302 × 157,302 - Step 4: Simplify right side
76,750x = 24,743,919,204 - Step 5: Solve for x
x = 24,743,919,204/76,750 - Step 6: Final answer
x = 322,396.34
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.