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Finding the Third Proportional to 141,873.75 and 311,388.75

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Solution

The third proportional to 141,873.75 and 311,388.75 is: 683,445.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,873.75 : 311,388.75 = 311,388.75 : x
  2. Step 2: Convert to fraction form
    141,873.75/311,388.75 = 311,388.75/x
  3. Step 3: Cross multiply
    141,873.75x = 311,388.75 × 311,388.75
  4. Step 4: Simplify right side
    141,873.75x = 96,962,953,626.56
  5. Step 5: Solve for x
    x = 96,962,953,626.56/141,873.75
  6. Step 6: Final answer
    x = 683,445.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.