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Finding the Third Proportional to 156,996 and 327,276

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Solution

The third proportional to 156,996 and 327,276 is: 682,244.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,996 : 327,276 = 327,276 : x
  2. Step 2: Convert to fraction form
    156,996/327,276 = 327,276/x
  3. Step 3: Cross multiply
    156,996x = 327,276 × 327,276
  4. Step 4: Simplify right side
    156,996x = 107,109,580,176
  5. Step 5: Solve for x
    x = 107,109,580,176/156,996
  6. Step 6: Final answer
    x = 682,244.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.