Finding the Third Proportional to 205,308 and 301,320
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Solution
The third proportional to 205,308 and 301,320 is: 442,231.88
Step by Step Solution
- Step 1: Write the proportion equation
205,308 : 301,320 = 301,320 : x - Step 2: Convert to fraction form
205,308/301,320 = 301,320/x - Step 3: Cross multiply
205,308x = 301,320 × 301,320 - Step 4: Simplify right side
205,308x = 90,793,742,400 - Step 5: Solve for x
x = 90,793,742,400/205,308 - Step 6: Final answer
x = 442,231.88
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.