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Finding the Third Proportional to 213,980 and 331,150

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Solution

The third proportional to 213,980 and 331,150 is: 512,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,980 : 331,150 = 331,150 : x
  2. Step 2: Convert to fraction form
    213,980/331,150 = 331,150/x
  3. Step 3: Cross multiply
    213,980x = 331,150 × 331,150
  4. Step 4: Simplify right side
    213,980x = 109,660,322,500
  5. Step 5: Solve for x
    x = 109,660,322,500/213,980
  6. Step 6: Final answer
    x = 512,479.31

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.