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Finding the Third Proportional to 149,500 and 321,188

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Solution

The third proportional to 149,500 and 321,188 is: 690,045.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,500 : 321,188 = 321,188 : x
  2. Step 2: Convert to fraction form
    149,500/321,188 = 321,188/x
  3. Step 3: Cross multiply
    149,500x = 321,188 × 321,188
  4. Step 4: Simplify right side
    149,500x = 103,161,731,344
  5. Step 5: Solve for x
    x = 103,161,731,344/149,500
  6. Step 6: Final answer
    x = 690,045.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.