Finding the Third Proportional to 230,136 and 492,258
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Solution
The third proportional to 230,136 and 492,258 is: 1,052,933.65
Step by Step Solution
- Step 1: Write the proportion equation
230,136 : 492,258 = 492,258 : x - Step 2: Convert to fraction form
230,136/492,258 = 492,258/x - Step 3: Cross multiply
230,136x = 492,258 × 492,258 - Step 4: Simplify right side
230,136x = 242,317,938,564 - Step 5: Solve for x
x = 242,317,938,564/230,136 - Step 6: Final answer
x = 1,052,933.65
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.