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Finding the Third Proportional to 150,354 and 324,900

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Solution

The third proportional to 150,354 and 324,900 is: 702,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,354 : 324,900 = 324,900 : x
  2. Step 2: Convert to fraction form
    150,354/324,900 = 324,900/x
  3. Step 3: Cross multiply
    150,354x = 324,900 × 324,900
  4. Step 4: Simplify right side
    150,354x = 105,560,010,000
  5. Step 5: Solve for x
    x = 105,560,010,000/150,354
  6. Step 6: Final answer
    x = 702,076.50

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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.