Finding the Third Proportional to 102,184 and 223,376
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Solution
The third proportional to 102,184 and 223,376 is: 488,303.82
Step by Step Solution
- Step 1: Write the proportion equation
102,184 : 223,376 = 223,376 : x - Step 2: Convert to fraction form
102,184/223,376 = 223,376/x - Step 3: Cross multiply
102,184x = 223,376 × 223,376 - Step 4: Simplify right side
102,184x = 49,896,837,376 - Step 5: Solve for x
x = 49,896,837,376/102,184 - Step 6: Final answer
x = 488,303.82
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.