Finding the Third Proportional to 231,073.50 and 309,078
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Solution
The third proportional to 231,073.50 and 309,078 is: 413,414.82
Step by Step Solution
- Step 1: Write the proportion equation
231,073.50 : 309,078 = 309,078 : x - Step 2: Convert to fraction form
231,073.50/309,078 = 309,078/x - Step 3: Cross multiply
231,073.50x = 309,078 × 309,078 - Step 4: Simplify right side
231,073.50x = 95,529,210,084 - Step 5: Solve for x
x = 95,529,210,084/231,073.50 - Step 6: Final answer
x = 413,414.82
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Why These Related Problems?
These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.