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Finding the Third Proportional to 151,956 and 327,252

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Solution

The third proportional to 151,956 and 327,252 is: 704,768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,956 : 327,252 = 327,252 : x
  2. Step 2: Convert to fraction form
    151,956/327,252 = 327,252/x
  3. Step 3: Cross multiply
    151,956x = 327,252 × 327,252
  4. Step 4: Simplify right side
    151,956x = 107,093,871,504
  5. Step 5: Solve for x
    x = 107,093,871,504/151,956
  6. Step 6: Final answer
    x = 704,768.96

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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.