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Finding the Third Proportional to 189,896 and 295,212

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Solution

The third proportional to 189,896 and 295,212 is: 458,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896 : 295,212 = 295,212 : x
  2. Step 2: Convert to fraction form
    189,896/295,212 = 295,212/x
  3. Step 3: Cross multiply
    189,896x = 295,212 × 295,212
  4. Step 4: Simplify right side
    189,896x = 87,150,124,944
  5. Step 5: Solve for x
    x = 87,150,124,944/189,896
  6. Step 6: Final answer
    x = 458,936.08

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