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Finding the Third Proportional to 138,494 and 298,170

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Solution

The third proportional to 138,494 and 298,170 is: 641,943.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,494 : 298,170 = 298,170 : x
  2. Step 2: Convert to fraction form
    138,494/298,170 = 298,170/x
  3. Step 3: Cross multiply
    138,494x = 298,170 × 298,170
  4. Step 4: Simplify right side
    138,494x = 88,905,348,900
  5. Step 5: Solve for x
    x = 88,905,348,900/138,494
  6. Step 6: Final answer
    x = 641,943.69

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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.