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Finding the Third Proportional to 159,860 and 324,202

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Solution

The third proportional to 159,860 and 324,202 is: 657,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,860 : 324,202 = 324,202 : x
  2. Step 2: Convert to fraction form
    159,860/324,202 = 324,202/x
  3. Step 3: Cross multiply
    159,860x = 324,202 × 324,202
  4. Step 4: Simplify right side
    159,860x = 105,106,936,804
  5. Step 5: Solve for x
    x = 105,106,936,804/159,860
  6. Step 6: Final answer
    x = 657,493.66

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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.