Finding the Third Proportional to 212,665.50 and 323,433
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Solution
The third proportional to 212,665.50 and 323,433 is: 491,894.10
Step by Step Solution
- Step 1: Write the proportion equation
212,665.50 : 323,433 = 323,433 : x - Step 2: Convert to fraction form
212,665.50/323,433 = 323,433/x - Step 3: Cross multiply
212,665.50x = 323,433 × 323,433 - Step 4: Simplify right side
212,665.50x = 104,608,905,489 - Step 5: Solve for x
x = 104,608,905,489/212,665.50 - Step 6: Final answer
x = 491,894.10
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Why These Related Problems?
These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.