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Finding the Third Proportional to 150,024 and 324,960

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Solution

The third proportional to 150,024 and 324,960 is: 703,880.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,024 : 324,960 = 324,960 : x
  2. Step 2: Convert to fraction form
    150,024/324,960 = 324,960/x
  3. Step 3: Cross multiply
    150,024x = 324,960 × 324,960
  4. Step 4: Simplify right side
    150,024x = 105,599,001,600
  5. Step 5: Solve for x
    x = 105,599,001,600/150,024
  6. Step 6: Final answer
    x = 703,880.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.