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Finding the Third Proportional to 179,928 and 387,099

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Solution

The third proportional to 179,928 and 387,099 is: 832,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,928 : 387,099 = 387,099 : x
  2. Step 2: Convert to fraction form
    179,928/387,099 = 387,099/x
  3. Step 3: Cross multiply
    179,928x = 387,099 × 387,099
  4. Step 4: Simplify right side
    179,928x = 149,845,635,801
  5. Step 5: Solve for x
    x = 149,845,635,801/179,928
  6. Step 6: Final answer
    x = 832,808.88

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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.