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Finding the Third Proportional to 133,072 and 296,176

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Solution

The third proportional to 133,072 and 296,176 is: 659,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,072 : 296,176 = 296,176 : x
  2. Step 2: Convert to fraction form
    133,072/296,176 = 296,176/x
  3. Step 3: Cross multiply
    133,072x = 296,176 × 296,176
  4. Step 4: Simplify right side
    133,072x = 87,720,222,976
  5. Step 5: Solve for x
    x = 87,720,222,976/133,072
  6. Step 6: Final answer
    x = 659,193.69

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.