Finding the Third Proportional to 186,842 and 289,443
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Solution
The third proportional to 186,842 and 289,443 is: 448,385.54
Step by Step Solution
- Step 1: Write the proportion equation
186,842 : 289,443 = 289,443 : x - Step 2: Convert to fraction form
186,842/289,443 = 289,443/x - Step 3: Cross multiply
186,842x = 289,443 × 289,443 - Step 4: Simplify right side
186,842x = 83,777,250,249 - Step 5: Solve for x
x = 83,777,250,249/186,842 - Step 6: Final answer
x = 448,385.54
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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.