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Finding the Third Proportional to 159,558 and 324,348

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Solution

The third proportional to 159,558 and 324,348 is: 659,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,558 : 324,348 = 324,348 : x
  2. Step 2: Convert to fraction form
    159,558/324,348 = 324,348/x
  3. Step 3: Cross multiply
    159,558x = 324,348 × 324,348
  4. Step 4: Simplify right side
    159,558x = 105,201,625,104
  5. Step 5: Solve for x
    x = 105,201,625,104/159,558
  6. Step 6: Final answer
    x = 659,331.56

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.