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Finding the Third Proportional to 204,524 and 313,932

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Solution

The third proportional to 204,524 and 313,932 is: 481,866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,524 : 313,932 = 313,932 : x
  2. Step 2: Convert to fraction form
    204,524/313,932 = 313,932/x
  3. Step 3: Cross multiply
    204,524x = 313,932 × 313,932
  4. Step 4: Simplify right side
    204,524x = 98,553,300,624
  5. Step 5: Solve for x
    x = 98,553,300,624/204,524
  6. Step 6: Final answer
    x = 481,866.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.