Finding the Third Proportional to 171,186 and 381,712
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Solution
The third proportional to 171,186 and 381,712 is: 851,144.67
Step by Step Solution
- Step 1: Write the proportion equation
171,186 : 381,712 = 381,712 : x - Step 2: Convert to fraction form
171,186/381,712 = 381,712/x - Step 3: Cross multiply
171,186x = 381,712 × 381,712 - Step 4: Simplify right side
171,186x = 145,704,050,944 - Step 5: Solve for x
x = 145,704,050,944/171,186 - Step 6: Final answer
x = 851,144.67
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.