Finding the Third Proportional to 217,042 and 469,174
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Solution
The third proportional to 217,042 and 469,174 is: 1,014,201.13
Step by Step Solution
- Step 1: Write the proportion equation
217,042 : 469,174 = 469,174 : x - Step 2: Convert to fraction form
217,042/469,174 = 469,174/x - Step 3: Cross multiply
217,042x = 469,174 × 469,174 - Step 4: Simplify right side
217,042x = 220,124,242,276 - Step 5: Solve for x
x = 220,124,242,276/217,042 - Step 6: Final answer
x = 1,014,201.13
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.