Finding the Third Proportional to 106,232.25 and 228,252.75
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Solution
The third proportional to 106,232.25 and 228,252.75 is: 490,428.45
Step by Step Solution
- Step 1: Write the proportion equation
106,232.25 : 228,252.75 = 228,252.75 : x - Step 2: Convert to fraction form
106,232.25/228,252.75 = 228,252.75/x - Step 3: Cross multiply
106,232.25x = 228,252.75 × 228,252.75 - Step 4: Simplify right side
106,232.25x = 52,099,317,882.56 - Step 5: Solve for x
x = 52,099,317,882.56/106,232.25 - Step 6: Final answer
x = 490,428.45
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Why These Related Problems?
These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.