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Finding the Third Proportional to 159,562 and 324,356

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Solution

The third proportional to 159,562 and 324,356 is: 659,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,562 : 324,356 = 324,356 : x
  2. Step 2: Convert to fraction form
    159,562/324,356 = 324,356/x
  3. Step 3: Cross multiply
    159,562x = 324,356 × 324,356
  4. Step 4: Simplify right side
    159,562x = 105,206,814,736
  5. Step 5: Solve for x
    x = 105,206,814,736/159,562
  6. Step 6: Final answer
    x = 659,347.56

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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.