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Finding the Third Proportional to 152,974 and 324,183

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Solution

The third proportional to 152,974 and 324,183 is: 687,009.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,974 : 324,183 = 324,183 : x
  2. Step 2: Convert to fraction form
    152,974/324,183 = 324,183/x
  3. Step 3: Cross multiply
    152,974x = 324,183 × 324,183
  4. Step 4: Simplify right side
    152,974x = 105,094,617,489
  5. Step 5: Solve for x
    x = 105,094,617,489/152,974
  6. Step 6: Final answer
    x = 687,009.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.