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Finding the Third Proportional to 138,797 and 298,642

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Solution

The third proportional to 138,797 and 298,642 is: 642,571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,797 : 298,642 = 298,642 : x
  2. Step 2: Convert to fraction form
    138,797/298,642 = 298,642/x
  3. Step 3: Cross multiply
    138,797x = 298,642 × 298,642
  4. Step 4: Simplify right side
    138,797x = 89,187,044,164
  5. Step 5: Solve for x
    x = 89,187,044,164/138,797
  6. Step 6: Final answer
    x = 642,571.84

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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.