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Finding the Third Proportional to 133,078 and 296,188

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Solution

The third proportional to 133,078 and 296,188 is: 659,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078 : 296,188 = 296,188 : x
  2. Step 2: Convert to fraction form
    133,078/296,188 = 296,188/x
  3. Step 3: Cross multiply
    133,078x = 296,188 × 296,188
  4. Step 4: Simplify right side
    133,078x = 87,727,331,344
  5. Step 5: Solve for x
    x = 87,727,331,344/133,078
  6. Step 6: Final answer
    x = 659,217.39

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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.