Finding the Third Proportional to 197,856 and 306,000
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Solution
The third proportional to 197,856 and 306,000 is: 473,253.28
Step by Step Solution
- Step 1: Write the proportion equation
197,856 : 306,000 = 306,000 : x - Step 2: Convert to fraction form
197,856/306,000 = 306,000/x - Step 3: Cross multiply
197,856x = 306,000 × 306,000 - Step 4: Simplify right side
197,856x = 93,636,000,000 - Step 5: Solve for x
x = 93,636,000,000/197,856 - Step 6: Final answer
x = 473,253.28
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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.