Finding the Third Proportional to 171,670 and 231,008
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Solution
The third proportional to 171,670 and 231,008 is: 310,856.27
Step by Step Solution
- Step 1: Write the proportion equation
171,670 : 231,008 = 231,008 : x - Step 2: Convert to fraction form
171,670/231,008 = 231,008/x - Step 3: Cross multiply
171,670x = 231,008 × 231,008 - Step 4: Simplify right side
171,670x = 53,364,696,064 - Step 5: Solve for x
x = 53,364,696,064/171,670 - Step 6: Final answer
x = 310,856.27
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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.