Finding the Third Proportional to 133,503 and 206,148
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Solution
The third proportional to 133,503 and 206,148 is: 318,322.42
Step by Step Solution
- Step 1: Write the proportion equation
133,503 : 206,148 = 206,148 : x - Step 2: Convert to fraction form
133,503/206,148 = 206,148/x - Step 3: Cross multiply
133,503x = 206,148 × 206,148 - Step 4: Simplify right side
133,503x = 42,496,997,904 - Step 5: Solve for x
x = 42,496,997,904/133,503 - Step 6: Final answer
x = 318,322.42
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.