Finding the Third Proportional to 197,048.75 and 409,822.75
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Solution
The third proportional to 197,048.75 and 409,822.75 is: 852,350.94
Step by Step Solution
- Step 1: Write the proportion equation
197,048.75 : 409,822.75 = 409,822.75 : x - Step 2: Convert to fraction form
197,048.75/409,822.75 = 409,822.75/x - Step 3: Cross multiply
197,048.75x = 409,822.75 × 409,822.75 - Step 4: Simplify right side
197,048.75x = 167,954,686,417.56 - Step 5: Solve for x
x = 167,954,686,417.56/197,048.75 - Step 6: Final answer
x = 852,350.94
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.