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Finding the Third Proportional to 150,984 and 325,152

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Solution

The third proportional to 150,984 and 325,152 is: 700,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,984 : 325,152 = 325,152 : x
  2. Step 2: Convert to fraction form
    150,984/325,152 = 325,152/x
  3. Step 3: Cross multiply
    150,984x = 325,152 × 325,152
  4. Step 4: Simplify right side
    150,984x = 105,723,823,104
  5. Step 5: Solve for x
    x = 105,723,823,104/150,984
  6. Step 6: Final answer
    x = 700,231.97

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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.