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Finding the Third Proportional to 159,556 and 324,344

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Solution

The third proportional to 159,556 and 324,344 is: 659,323.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,556 : 324,344 = 324,344 : x
  2. Step 2: Convert to fraction form
    159,556/324,344 = 324,344/x
  3. Step 3: Cross multiply
    159,556x = 324,344 × 324,344
  4. Step 4: Simplify right side
    159,556x = 105,199,030,336
  5. Step 5: Solve for x
    x = 105,199,030,336/159,556
  6. Step 6: Final answer
    x = 659,323.56

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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.