Finding the Third Proportional to 147,123 and 311,901
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Solution
The third proportional to 147,123 and 311,901 is: 661,230.63
Step by Step Solution
- Step 1: Write the proportion equation
147,123 : 311,901 = 311,901 : x - Step 2: Convert to fraction form
147,123/311,901 = 311,901/x - Step 3: Cross multiply
147,123x = 311,901 × 311,901 - Step 4: Simplify right side
147,123x = 97,282,233,801 - Step 5: Solve for x
x = 97,282,233,801/147,123 - Step 6: Final answer
x = 661,230.63
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.