Finding the Third Proportional to 83,306.25 and 182,823.75
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Solution
The third proportional to 83,306.25 and 182,823.75 is: 401,224.68
Step by Step Solution
- Step 1: Write the proportion equation
83,306.25 : 182,823.75 = 182,823.75 : x - Step 2: Convert to fraction form
83,306.25/182,823.75 = 182,823.75/x - Step 3: Cross multiply
83,306.25x = 182,823.75 × 182,823.75 - Step 4: Simplify right side
83,306.25x = 33,424,523,564.06 - Step 5: Solve for x
x = 33,424,523,564.06/83,306.25 - Step 6: Final answer
x = 401,224.68
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.