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Finding the Third Proportional to 149,968 and 324,416

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Solution

The third proportional to 149,968 and 324,416 is: 701,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,968 : 324,416 = 324,416 : x
  2. Step 2: Convert to fraction form
    149,968/324,416 = 324,416/x
  3. Step 3: Cross multiply
    149,968x = 324,416 × 324,416
  4. Step 4: Simplify right side
    149,968x = 105,245,741,056
  5. Step 5: Solve for x
    x = 105,245,741,056/149,968
  6. Step 6: Final answer
    x = 701,787.99

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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.