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Finding the Third Proportional to 159,856 and 324,194

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Solution

The third proportional to 159,856 and 324,194 is: 657,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,856 : 324,194 = 324,194 : x
  2. Step 2: Convert to fraction form
    159,856/324,194 = 324,194/x
  3. Step 3: Cross multiply
    159,856x = 324,194 × 324,194
  4. Step 4: Simplify right side
    159,856x = 105,101,749,636
  5. Step 5: Solve for x
    x = 105,101,749,636/159,856
  6. Step 6: Final answer
    x = 657,477.67

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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.