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Finding the Third Proportional to 139,190.50 and 215,182

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Solution

The third proportional to 139,190.50 and 215,182 is: 332,661.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,190.50 : 215,182 = 215,182 : x
  2. Step 2: Convert to fraction form
    139,190.50/215,182 = 215,182/x
  3. Step 3: Cross multiply
    139,190.50x = 215,182 × 215,182
  4. Step 4: Simplify right side
    139,190.50x = 46,303,293,124
  5. Step 5: Solve for x
    x = 46,303,293,124/139,190.50
  6. Step 6: Final answer
    x = 332,661.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.