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Finding the Third Proportional to 225,996.75 and 331,614

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Solution

The third proportional to 225,996.75 and 331,614 is: 486,590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,996.75 : 331,614 = 331,614 : x
  2. Step 2: Convert to fraction form
    225,996.75/331,614 = 331,614/x
  3. Step 3: Cross multiply
    225,996.75x = 331,614 × 331,614
  4. Step 4: Simplify right side
    225,996.75x = 109,967,844,996
  5. Step 5: Solve for x
    x = 109,967,844,996/225,996.75
  6. Step 6: Final answer
    x = 486,590.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.