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Finding the Third Proportional to 159,852 and 324,186

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Solution

The third proportional to 159,852 and 324,186 is: 657,461.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,852 : 324,186 = 324,186 : x
  2. Step 2: Convert to fraction form
    159,852/324,186 = 324,186/x
  3. Step 3: Cross multiply
    159,852x = 324,186 × 324,186
  4. Step 4: Simplify right side
    159,852x = 105,096,562,596
  5. Step 5: Solve for x
    x = 105,096,562,596/159,852
  6. Step 6: Final answer
    x = 657,461.67

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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.