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Finding the Third Proportional to 138,832 and 295,182

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Solution

The third proportional to 138,832 and 295,182 is: 627,610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,832 : 295,182 = 295,182 : x
  2. Step 2: Convert to fraction form
    138,832/295,182 = 295,182/x
  3. Step 3: Cross multiply
    138,832x = 295,182 × 295,182
  4. Step 4: Simplify right side
    138,832x = 87,132,413,124
  5. Step 5: Solve for x
    x = 87,132,413,124/138,832
  6. Step 6: Final answer
    x = 627,610.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.