Finding the Third Proportional to 257,176 and 398,172
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Solution
The third proportional to 257,176 and 398,172 is: 616,468.65
Step by Step Solution
- Step 1: Write the proportion equation
257,176 : 398,172 = 398,172 : x - Step 2: Convert to fraction form
257,176/398,172 = 398,172/x - Step 3: Cross multiply
257,176x = 398,172 × 398,172 - Step 4: Simplify right side
257,176x = 158,540,941,584 - Step 5: Solve for x
x = 158,540,941,584/257,176 - Step 6: Final answer
x = 616,468.65
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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.