Finding the Third Proportional to 146,197.50 and 320,316
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Solution
The third proportional to 146,197.50 and 320,316 is: 701,806.39
Step by Step Solution
- Step 1: Write the proportion equation
146,197.50 : 320,316 = 320,316 : x - Step 2: Convert to fraction form
146,197.50/320,316 = 320,316/x - Step 3: Cross multiply
146,197.50x = 320,316 × 320,316 - Step 4: Simplify right side
146,197.50x = 102,602,339,856 - Step 5: Solve for x
x = 102,602,339,856/146,197.50 - Step 6: Final answer
x = 701,806.39
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.