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Finding the Third Proportional to 82,028 and 178,285

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Solution

The third proportional to 82,028 and 178,285 is: 387,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028 : 178,285 = 178,285 : x
  2. Step 2: Convert to fraction form
    82,028/178,285 = 178,285/x
  3. Step 3: Cross multiply
    82,028x = 178,285 × 178,285
  4. Step 4: Simplify right side
    82,028x = 31,785,541,225
  5. Step 5: Solve for x
    x = 31,785,541,225/82,028
  6. Step 6: Final answer
    x = 387,496.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.