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Finding the Third Proportional to 157,736.25 and 342,090

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Solution

The third proportional to 157,736.25 and 342,090 is: 741,906.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,736.25 : 342,090 = 342,090 : x
  2. Step 2: Convert to fraction form
    157,736.25/342,090 = 342,090/x
  3. Step 3: Cross multiply
    157,736.25x = 342,090 × 342,090
  4. Step 4: Simplify right side
    157,736.25x = 117,025,568,100
  5. Step 5: Solve for x
    x = 117,025,568,100/157,736.25
  6. Step 6: Final answer
    x = 741,906.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.