Finding the Third Proportional to 197,904 and 306,786
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Solution
The third proportional to 197,904 and 306,786 is: 475,572.25
Step by Step Solution
- Step 1: Write the proportion equation
197,904 : 306,786 = 306,786 : x - Step 2: Convert to fraction form
197,904/306,786 = 306,786/x - Step 3: Cross multiply
197,904x = 306,786 × 306,786 - Step 4: Simplify right side
197,904x = 94,117,649,796 - Step 5: Solve for x
x = 94,117,649,796/197,904 - Step 6: Final answer
x = 475,572.25
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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.