Finding the Third Proportional to 122,857.50 and 268,446
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Solution
The third proportional to 122,857.50 and 268,446 is: 586,559.67
Step by Step Solution
- Step 1: Write the proportion equation
122,857.50 : 268,446 = 268,446 : x - Step 2: Convert to fraction form
122,857.50/268,446 = 268,446/x - Step 3: Cross multiply
122,857.50x = 268,446 × 268,446 - Step 4: Simplify right side
122,857.50x = 72,063,254,916 - Step 5: Solve for x
x = 72,063,254,916/122,857.50 - Step 6: Final answer
x = 586,559.67
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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.