Finding the Third Proportional to 258,064 and 398,760
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Solution
The third proportional to 258,064 and 398,760 is: 616,163.19
Step by Step Solution
- Step 1: Write the proportion equation
258,064 : 398,760 = 398,760 : x - Step 2: Convert to fraction form
258,064/398,760 = 398,760/x - Step 3: Cross multiply
258,064x = 398,760 × 398,760 - Step 4: Simplify right side
258,064x = 159,009,537,600 - Step 5: Solve for x
x = 159,009,537,600/258,064 - Step 6: Final answer
x = 616,163.19
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.