Finding the Third Proportional to 142,057.50 and 315,645
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Solution
The third proportional to 142,057.50 and 315,645 is: 701,348.16
Step by Step Solution
- Step 1: Write the proportion equation
142,057.50 : 315,645 = 315,645 : x - Step 2: Convert to fraction form
142,057.50/315,645 = 315,645/x - Step 3: Cross multiply
142,057.50x = 315,645 × 315,645 - Step 4: Simplify right side
142,057.50x = 99,631,766,025 - Step 5: Solve for x
x = 99,631,766,025/142,057.50 - Step 6: Final answer
x = 701,348.16
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.