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Finding the Third Proportional to 138,538 and 298,266

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Solution

The third proportional to 138,538 and 298,266 is: 642,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,538 : 298,266 = 298,266 : x
  2. Step 2: Convert to fraction form
    138,538/298,266 = 298,266/x
  3. Step 3: Cross multiply
    138,538x = 298,266 × 298,266
  4. Step 4: Simplify right side
    138,538x = 88,962,606,756
  5. Step 5: Solve for x
    x = 88,962,606,756/138,538
  6. Step 6: Final answer
    x = 642,153.10

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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.