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Finding the Third Proportional to 146,022 and 313,856

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Solution

The third proportional to 146,022 and 313,856 is: 674,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022 : 313,856 = 313,856 : x
  2. Step 2: Convert to fraction form
    146,022/313,856 = 313,856/x
  3. Step 3: Cross multiply
    146,022x = 313,856 × 313,856
  4. Step 4: Simplify right side
    146,022x = 98,505,588,736
  5. Step 5: Solve for x
    x = 98,505,588,736/146,022
  6. Step 6: Final answer
    x = 674,594.16

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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.