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Finding the Third Proportional to 179,638 and 299,380

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Solution

The third proportional to 179,638 and 299,380 is: 498,938.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,638 : 299,380 = 299,380 : x
  2. Step 2: Convert to fraction form
    179,638/299,380 = 299,380/x
  3. Step 3: Cross multiply
    179,638x = 299,380 × 299,380
  4. Step 4: Simplify right side
    179,638x = 89,628,384,400
  5. Step 5: Solve for x
    x = 89,628,384,400/179,638
  6. Step 6: Final answer
    x = 498,938.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.