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Finding the Third Proportional to 158,327.16 and 323,101.41

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Solution

The third proportional to 158,327.16 and 323,101.41 is: 659,359.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,327.16 : 323,101.41 = 323,101.41 : x
  2. Step 2: Convert to fraction form
    158,327.16/323,101.41 = 323,101.41/x
  3. Step 3: Cross multiply
    158,327.16x = 323,101.41 × 323,101.41
  4. Step 4: Simplify right side
    158,327.16x = 104,394,518,720.73
  5. Step 5: Solve for x
    x = 104,394,518,720.73/158,327.16
  6. Step 6: Final answer
    x = 659,359.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.