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Finding the Third Proportional to 204,516 and 313,918

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Solution

The third proportional to 204,516 and 313,918 is: 481,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,516 : 313,918 = 313,918 : x
  2. Step 2: Convert to fraction form
    204,516/313,918 = 313,918/x
  3. Step 3: Cross multiply
    204,516x = 313,918 × 313,918
  4. Step 4: Simplify right side
    204,516x = 98,544,510,724
  5. Step 5: Solve for x
    x = 98,544,510,724/204,516
  6. Step 6: Final answer
    x = 481,842.55

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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.