Finding the Third Proportional to 212,982 and 469,176
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Solution
The third proportional to 212,982 and 469,176 is: 1,033,543.30
Step by Step Solution
- Step 1: Write the proportion equation
212,982 : 469,176 = 469,176 : x - Step 2: Convert to fraction form
212,982/469,176 = 469,176/x - Step 3: Cross multiply
212,982x = 469,176 × 469,176 - Step 4: Simplify right side
212,982x = 220,126,118,976 - Step 5: Solve for x
x = 220,126,118,976/212,982 - Step 6: Final answer
x = 1,033,543.30
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.