Finding the Third Proportional to 225,730.50 and 470,144
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Solution
The third proportional to 225,730.50 and 470,144 is: 979,200.33
Step by Step Solution
- Step 1: Write the proportion equation
225,730.50 : 470,144 = 470,144 : x - Step 2: Convert to fraction form
225,730.50/470,144 = 470,144/x - Step 3: Cross multiply
225,730.50x = 470,144 × 470,144 - Step 4: Simplify right side
225,730.50x = 221,035,380,736 - Step 5: Solve for x
x = 221,035,380,736/225,730.50 - Step 6: Final answer
x = 979,200.33
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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.