Finding the Third Proportional to 205,975.13 and 293,982.75
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Solution
The third proportional to 205,975.13 and 293,982.75 is: 419,593.66
Step by Step Solution
- Step 1: Write the proportion equation
205,975.13 : 293,982.75 = 293,982.75 : x - Step 2: Convert to fraction form
205,975.13/293,982.75 = 293,982.75/x - Step 3: Cross multiply
205,975.13x = 293,982.75 × 293,982.75 - Step 4: Simplify right side
205,975.13x = 86,425,857,297.56 - Step 5: Solve for x
x = 86,425,857,297.56/205,975.13 - Step 6: Final answer
x = 419,593.66
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.