Finding the Third Proportional to 86,295 and 176,769
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Solution
The third proportional to 86,295 and 176,769 is: 362,098.38
Step by Step Solution
- Step 1: Write the proportion equation
86,295 : 176,769 = 176,769 : x - Step 2: Convert to fraction form
86,295/176,769 = 176,769/x - Step 3: Cross multiply
86,295x = 176,769 × 176,769 - Step 4: Simplify right side
86,295x = 31,247,279,361 - Step 5: Solve for x
x = 31,247,279,361/86,295 - Step 6: Final answer
x = 362,098.38
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.