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Finding the Third Proportional to 151,236 and 327,096

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Solution

The third proportional to 151,236 and 327,096 is: 707,449.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,236 : 327,096 = 327,096 : x
  2. Step 2: Convert to fraction form
    151,236/327,096 = 327,096/x
  3. Step 3: Cross multiply
    151,236x = 327,096 × 327,096
  4. Step 4: Simplify right side
    151,236x = 106,991,793,216
  5. Step 5: Solve for x
    x = 106,991,793,216/151,236
  6. Step 6: Final answer
    x = 707,449.24

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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.