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Finding the Third Proportional to 189,764 and 410,696

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Solution

The third proportional to 189,764 and 410,696 is: 888,847.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,764 : 410,696 = 410,696 : x
  2. Step 2: Convert to fraction form
    189,764/410,696 = 410,696/x
  3. Step 3: Cross multiply
    189,764x = 410,696 × 410,696
  4. Step 4: Simplify right side
    189,764x = 168,671,204,416
  5. Step 5: Solve for x
    x = 168,671,204,416/189,764
  6. Step 6: Final answer
    x = 888,847.22

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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.