Finding the Third Proportional to 105,650 and 220,000
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Solution
The third proportional to 105,650 and 220,000 is: 458,116.42
Step by Step Solution
- Step 1: Write the proportion equation
105,650 : 220,000 = 220,000 : x - Step 2: Convert to fraction form
105,650/220,000 = 220,000/x - Step 3: Cross multiply
105,650x = 220,000 × 220,000 - Step 4: Simplify right side
105,650x = 48,400,000,000 - Step 5: Solve for x
x = 48,400,000,000/105,650 - Step 6: Final answer
x = 458,116.42
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.