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Finding the Third Proportional to 185,736 and 407,073

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Solution

The third proportional to 185,736 and 407,073 is: 892,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,736 : 407,073 = 407,073 : x
  2. Step 2: Convert to fraction form
    185,736/407,073 = 407,073/x
  3. Step 3: Cross multiply
    185,736x = 407,073 × 407,073
  4. Step 4: Simplify right side
    185,736x = 165,708,427,329
  5. Step 5: Solve for x
    x = 165,708,427,329/185,736
  6. Step 6: Final answer
    x = 892,171.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.