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Finding the Third Proportional to 179,241 and 275,128

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Solution

The third proportional to 179,241 and 275,128 is: 422,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,241 : 275,128 = 275,128 : x
  2. Step 2: Convert to fraction form
    179,241/275,128 = 275,128/x
  3. Step 3: Cross multiply
    179,241x = 275,128 × 275,128
  4. Step 4: Simplify right side
    179,241x = 75,695,416,384
  5. Step 5: Solve for x
    x = 75,695,416,384/179,241
  6. Step 6: Final answer
    x = 422,310.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.