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Finding the Third Proportional to 213,048 and 331,254

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Solution

The third proportional to 213,048 and 331,254 is: 515,044.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,048 : 331,254 = 331,254 : x
  2. Step 2: Convert to fraction form
    213,048/331,254 = 331,254/x
  3. Step 3: Cross multiply
    213,048x = 331,254 × 331,254
  4. Step 4: Simplify right side
    213,048x = 109,729,212,516
  5. Step 5: Solve for x
    x = 109,729,212,516/213,048
  6. Step 6: Final answer
    x = 515,044.56

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Why These Related Problems?

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