Finding the Third Proportional to 185,906 and 295,464
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Solution
The third proportional to 185,906 and 295,464 is: 469,586.65
Step by Step Solution
- Step 1: Write the proportion equation
185,906 : 295,464 = 295,464 : x - Step 2: Convert to fraction form
185,906/295,464 = 295,464/x - Step 3: Cross multiply
185,906x = 295,464 × 295,464 - Step 4: Simplify right side
185,906x = 87,298,975,296 - Step 5: Solve for x
x = 87,298,975,296/185,906 - Step 6: Final answer
x = 469,586.65
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.