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Finding the Third Proportional to 150,626.50 and 324,599

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Solution

The third proportional to 150,626.50 and 324,599 is: 699,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,626.50 : 324,599 = 324,599 : x
  2. Step 2: Convert to fraction form
    150,626.50/324,599 = 324,599/x
  3. Step 3: Cross multiply
    150,626.50x = 324,599 × 324,599
  4. Step 4: Simplify right side
    150,626.50x = 105,364,510,801
  5. Step 5: Solve for x
    x = 105,364,510,801/150,626.50
  6. Step 6: Final answer
    x = 699,508.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.