Finding the Third Proportional to 130,142 and 284,152
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Solution
The third proportional to 130,142 and 284,152 is: 620,417.38
Step by Step Solution
- Step 1: Write the proportion equation
130,142 : 284,152 = 284,152 : x - Step 2: Convert to fraction form
130,142/284,152 = 284,152/x - Step 3: Cross multiply
130,142x = 284,152 × 284,152 - Step 4: Simplify right side
130,142x = 80,742,359,104 - Step 5: Solve for x
x = 80,742,359,104/130,142 - Step 6: Final answer
x = 620,417.38
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.