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Finding the Third Proportional to 76,433 and 158,266

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Solution

The third proportional to 76,433 and 158,266 is: 327,713.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,433 : 158,266 = 158,266 : x
  2. Step 2: Convert to fraction form
    76,433/158,266 = 158,266/x
  3. Step 3: Cross multiply
    76,433x = 158,266 × 158,266
  4. Step 4: Simplify right side
    76,433x = 25,048,126,756
  5. Step 5: Solve for x
    x = 25,048,126,756/76,433
  6. Step 6: Final answer
    x = 327,713.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.