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Finding the Third Proportional to 150,326 and 323,908

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Solution

The third proportional to 150,326 and 323,908 is: 697,925.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,326 : 323,908 = 323,908 : x
  2. Step 2: Convert to fraction form
    150,326/323,908 = 323,908/x
  3. Step 3: Cross multiply
    150,326x = 323,908 × 323,908
  4. Step 4: Simplify right side
    150,326x = 104,916,392,464
  5. Step 5: Solve for x
    x = 104,916,392,464/150,326
  6. Step 6: Final answer
    x = 697,925.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.