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Finding the Third Proportional to 149,968 and 324,858

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Solution

The third proportional to 149,968 and 324,858 is: 703,701.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,968 : 324,858 = 324,858 : x
  2. Step 2: Convert to fraction form
    149,968/324,858 = 324,858/x
  3. Step 3: Cross multiply
    149,968x = 324,858 × 324,858
  4. Step 4: Simplify right side
    149,968x = 105,532,720,164
  5. Step 5: Solve for x
    x = 105,532,720,164/149,968
  6. Step 6: Final answer
    x = 703,701.59

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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.