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Finding the Third Proportional to 153,238.50 and 324,906.75

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Solution

The third proportional to 153,238.50 and 324,906.75 is: 688,889.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,238.50 : 324,906.75 = 324,906.75 : x
  2. Step 2: Convert to fraction form
    153,238.50/324,906.75 = 324,906.75/x
  3. Step 3: Cross multiply
    153,238.50x = 324,906.75 × 324,906.75
  4. Step 4: Simplify right side
    153,238.50x = 105,564,396,195.56
  5. Step 5: Solve for x
    x = 105,564,396,195.56/153,238.50
  6. Step 6: Final answer
    x = 688,889.52

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