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Finding the Third Proportional to 150,338 and 323,932

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Solution

The third proportional to 150,338 and 323,932 is: 697,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,338 : 323,932 = 323,932 : x
  2. Step 2: Convert to fraction form
    150,338/323,932 = 323,932/x
  3. Step 3: Cross multiply
    150,338x = 323,932 × 323,932
  4. Step 4: Simplify right side
    150,338x = 104,931,940,624
  5. Step 5: Solve for x
    x = 104,931,940,624/150,338
  6. Step 6: Final answer
    x = 697,973.50

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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.