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Finding the Third Proportional to 149,932 and 322,096

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Solution

The third proportional to 149,932 and 322,096 is: 691,952.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,932 : 322,096 = 322,096 : x
  2. Step 2: Convert to fraction form
    149,932/322,096 = 322,096/x
  3. Step 3: Cross multiply
    149,932x = 322,096 × 322,096
  4. Step 4: Simplify right side
    149,932x = 103,745,833,216
  5. Step 5: Solve for x
    x = 103,745,833,216/149,932
  6. Step 6: Final answer
    x = 691,952.57

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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.