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Finding the Third Proportional to 189,037 and 409,105

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Solution

The third proportional to 189,037 and 409,105 is: 885,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,037 : 409,105 = 409,105 : x
  2. Step 2: Convert to fraction form
    189,037/409,105 = 409,105/x
  3. Step 3: Cross multiply
    189,037x = 409,105 × 409,105
  4. Step 4: Simplify right side
    189,037x = 167,366,901,025
  5. Step 5: Solve for x
    x = 167,366,901,025/189,037
  6. Step 6: Final answer
    x = 885,365.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.