Finding the Third Proportional to 214,740 and 485,156
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Solution
The third proportional to 214,740 and 485,156 is: 1,096,099.21
Step by Step Solution
- Step 1: Write the proportion equation
214,740 : 485,156 = 485,156 : x - Step 2: Convert to fraction form
214,740/485,156 = 485,156/x - Step 3: Cross multiply
214,740x = 485,156 × 485,156 - Step 4: Simplify right side
214,740x = 235,376,344,336 - Step 5: Solve for x
x = 235,376,344,336/214,740 - Step 6: Final answer
x = 1,096,099.21
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Why These Related Problems?
These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.