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Finding the Third Proportional to 146,016 and 313,872

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Solution

The third proportional to 146,016 and 313,872 is: 674,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,016 : 313,872 = 313,872 : x
  2. Step 2: Convert to fraction form
    146,016/313,872 = 313,872/x
  3. Step 3: Cross multiply
    146,016x = 313,872 × 313,872
  4. Step 4: Simplify right side
    146,016x = 98,515,632,384
  5. Step 5: Solve for x
    x = 98,515,632,384/146,016
  6. Step 6: Final answer
    x = 674,690.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.