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Finding the Third Proportional to 189,896 and 295,214

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Solution

The third proportional to 189,896 and 295,214 is: 458,942.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,896 : 295,214 = 295,214 : x
  2. Step 2: Convert to fraction form
    189,896/295,214 = 295,214/x
  3. Step 3: Cross multiply
    189,896x = 295,214 × 295,214
  4. Step 4: Simplify right side
    189,896x = 87,151,305,796
  5. Step 5: Solve for x
    x = 87,151,305,796/189,896
  6. Step 6: Final answer
    x = 458,942.29

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Why These Related Problems?

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