Finding the Third Proportional to 258,000 and 398,670
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Solution
The third proportional to 258,000 and 398,670 is: 616,037.86
Step by Step Solution
- Step 1: Write the proportion equation
258,000 : 398,670 = 398,670 : x - Step 2: Convert to fraction form
258,000/398,670 = 398,670/x - Step 3: Cross multiply
258,000x = 398,670 × 398,670 - Step 4: Simplify right side
258,000x = 158,937,768,900 - Step 5: Solve for x
x = 158,937,768,900/258,000 - Step 6: Final answer
x = 616,037.86
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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.