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Finding the Third Proportional to 189,921 and 412,194

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Solution

The third proportional to 189,921 and 412,194 is: 894,602.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,921 : 412,194 = 412,194 : x
  2. Step 2: Convert to fraction form
    189,921/412,194 = 412,194/x
  3. Step 3: Cross multiply
    189,921x = 412,194 × 412,194
  4. Step 4: Simplify right side
    189,921x = 169,903,893,636
  5. Step 5: Solve for x
    x = 169,903,893,636/189,921
  6. Step 6: Final answer
    x = 894,602.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.