Finding the Third Proportional to 78,161 and 184,323
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Solution
The third proportional to 78,161 and 184,323 is: 434,679.29
Step by Step Solution
- Step 1: Write the proportion equation
78,161 : 184,323 = 184,323 : x - Step 2: Convert to fraction form
78,161/184,323 = 184,323/x - Step 3: Cross multiply
78,161x = 184,323 × 184,323 - Step 4: Simplify right side
78,161x = 33,974,968,329 - Step 5: Solve for x
x = 33,974,968,329/78,161 - Step 6: Final answer
x = 434,679.29
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.