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Finding the Third Proportional to 150,628.50 and 324,585

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Solution

The third proportional to 150,628.50 and 324,585 is: 699,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,628.50 : 324,585 = 324,585 : x
  2. Step 2: Convert to fraction form
    150,628.50/324,585 = 324,585/x
  3. Step 3: Cross multiply
    150,628.50x = 324,585 × 324,585
  4. Step 4: Simplify right side
    150,628.50x = 105,355,422,225
  5. Step 5: Solve for x
    x = 105,355,422,225/150,628.50
  6. Step 6: Final answer
    x = 699,438.83

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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.