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Finding the Third Proportional to 204,326 and 317,118

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Solution

The third proportional to 204,326 and 317,118 is: 492,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,326 : 317,118 = 317,118 : x
  2. Step 2: Convert to fraction form
    204,326/317,118 = 317,118/x
  3. Step 3: Cross multiply
    204,326x = 317,118 × 317,118
  4. Step 4: Simplify right side
    204,326x = 100,563,825,924
  5. Step 5: Solve for x
    x = 100,563,825,924/204,326
  6. Step 6: Final answer
    x = 492,173.42

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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.