Finding the Third Proportional to 222,174 and 470,830.50
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Solution
The third proportional to 222,174 and 470,830.50 is: 997,782.64
Step by Step Solution
- Step 1: Write the proportion equation
222,174 : 470,830.50 = 470,830.50 : x - Step 2: Convert to fraction form
222,174/470,830.50 = 470,830.50/x - Step 3: Cross multiply
222,174x = 470,830.50 × 470,830.50 - Step 4: Simplify right side
222,174x = 221,681,359,730.25 - Step 5: Solve for x
x = 221,681,359,730.25/222,174 - Step 6: Final answer
x = 997,782.64
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.