Finding the Third Proportional to 258,416.26 and 410,113.76
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Solution
The third proportional to 258,416.26 and 410,113.76 is: 650,861.88
Step by Step Solution
- Step 1: Write the proportion equation
258,416.26 : 410,113.76 = 410,113.76 : x - Step 2: Convert to fraction form
258,416.26/410,113.76 = 410,113.76/x - Step 3: Cross multiply
258,416.26x = 410,113.76 × 410,113.76 - Step 4: Simplify right side
258,416.26x = 168,193,294,347.09 - Step 5: Solve for x
x = 168,193,294,347.09/258,416.26 - Step 6: Final answer
x = 650,861.88
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Why These Related Problems?
These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.