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Finding the Third Proportional to 159,554 and 324,340

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Solution

The third proportional to 159,554 and 324,340 is: 659,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,554 : 324,340 = 324,340 : x
  2. Step 2: Convert to fraction form
    159,554/324,340 = 324,340/x
  3. Step 3: Cross multiply
    159,554x = 324,340 × 324,340
  4. Step 4: Simplify right side
    159,554x = 105,196,435,600
  5. Step 5: Solve for x
    x = 105,196,435,600/159,554
  6. Step 6: Final answer
    x = 659,315.56

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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.