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Finding the Third Proportional to 182,769.75 and 380,165.06

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Solution

The third proportional to 182,769.75 and 380,165.06 is: 790,751.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,769.75 : 380,165.06 = 380,165.06 : x
  2. Step 2: Convert to fraction form
    182,769.75/380,165.06 = 380,165.06/x
  3. Step 3: Cross multiply
    182,769.75x = 380,165.06 × 380,165.06
  4. Step 4: Simplify right side
    182,769.75x = 144,525,474,745.63
  5. Step 5: Solve for x
    x = 144,525,474,745.63/182,769.75
  6. Step 6: Final answer
    x = 790,751.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.