Finding the Third Proportional to 180,722 and 271,083
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Solution
The third proportional to 180,722 and 271,083 is: 406,624.50
Step by Step Solution
- Step 1: Write the proportion equation
180,722 : 271,083 = 271,083 : x - Step 2: Convert to fraction form
180,722/271,083 = 271,083/x - Step 3: Cross multiply
180,722x = 271,083 × 271,083 - Step 4: Simplify right side
180,722x = 73,485,992,889 - Step 5: Solve for x
x = 73,485,992,889/180,722 - Step 6: Final answer
x = 406,624.50
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.