Finding the Third Proportional to 186,780 and 285,642
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Solution
The third proportional to 186,780 and 285,642 is: 436,831.31
Step by Step Solution
- Step 1: Write the proportion equation
186,780 : 285,642 = 285,642 : x - Step 2: Convert to fraction form
186,780/285,642 = 285,642/x - Step 3: Cross multiply
186,780x = 285,642 × 285,642 - Step 4: Simplify right side
186,780x = 81,591,352,164 - Step 5: Solve for x
x = 81,591,352,164/186,780 - Step 6: Final answer
x = 436,831.31
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.