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Finding the Third Proportional to 150,542 and 324,844

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Solution

The third proportional to 150,542 and 324,844 is: 700,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,542 : 324,844 = 324,844 : x
  2. Step 2: Convert to fraction form
    150,542/324,844 = 324,844/x
  3. Step 3: Cross multiply
    150,542x = 324,844 × 324,844
  4. Step 4: Simplify right side
    150,542x = 105,523,624,336
  5. Step 5: Solve for x
    x = 105,523,624,336/150,542
  6. Step 6: Final answer
    x = 700,958.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.