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Finding the Third Proportional to 179,664 and 389,229

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Solution

The third proportional to 179,664 and 389,229 is: 843,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,664 : 389,229 = 389,229 : x
  2. Step 2: Convert to fraction form
    179,664/389,229 = 389,229/x
  3. Step 3: Cross multiply
    179,664x = 389,229 × 389,229
  4. Step 4: Simplify right side
    179,664x = 151,499,214,441
  5. Step 5: Solve for x
    x = 151,499,214,441/179,664
  6. Step 6: Final answer
    x = 843,236.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.