Finding the Third Proportional to 212,625 and 312,214.50
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Solution
The third proportional to 212,625 and 312,214.50 is: 458,449.82
Step by Step Solution
- Step 1: Write the proportion equation
212,625 : 312,214.50 = 312,214.50 : x - Step 2: Convert to fraction form
212,625/312,214.50 = 312,214.50/x - Step 3: Cross multiply
212,625x = 312,214.50 × 312,214.50 - Step 4: Simplify right side
212,625x = 97,477,894,010.25 - Step 5: Solve for x
x = 97,477,894,010.25/212,625 - Step 6: Final answer
x = 458,449.82
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Why These Related Problems?
These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.