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Finding the Third Proportional to 204,812 and 317,998

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Solution

The third proportional to 204,812 and 317,998 is: 493,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,812 : 317,998 = 317,998 : x
  2. Step 2: Convert to fraction form
    204,812/317,998 = 317,998/x
  3. Step 3: Cross multiply
    204,812x = 317,998 × 317,998
  4. Step 4: Simplify right side
    204,812x = 101,122,728,004
  5. Step 5: Solve for x
    x = 101,122,728,004/204,812
  6. Step 6: Final answer
    x = 493,734.39

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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.