Finding the Third Proportional to 205,760.25 and 293,673.09
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Solution
The third proportional to 205,760.25 and 293,673.09 is: 419,147.46
Step by Step Solution
- Step 1: Write the proportion equation
205,760.25 : 293,673.09 = 293,673.09 : x - Step 2: Convert to fraction form
205,760.25/293,673.09 = 293,673.09/x - Step 3: Cross multiply
205,760.25x = 293,673.09 × 293,673.09 - Step 4: Simplify right side
205,760.25x = 86,243,885,992.70 - Step 5: Solve for x
x = 86,243,885,992.70/205,760.25 - Step 6: Final answer
x = 419,147.46
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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.