Finding the Third Proportional to 122,766 and 268,954
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Solution
The third proportional to 122,766 and 268,954 is: 589,220.58
Step by Step Solution
- Step 1: Write the proportion equation
122,766 : 268,954 = 268,954 : x - Step 2: Convert to fraction form
122,766/268,954 = 268,954/x - Step 3: Cross multiply
122,766x = 268,954 × 268,954 - Step 4: Simplify right side
122,766x = 72,336,254,116 - Step 5: Solve for x
x = 72,336,254,116/122,766 - Step 6: Final answer
x = 589,220.58
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.