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Finding the Third Proportional to 189,876 and 295,182

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Solution

The third proportional to 189,876 and 295,182 is: 458,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,876 : 295,182 = 295,182 : x
  2. Step 2: Convert to fraction form
    189,876/295,182 = 295,182/x
  3. Step 3: Cross multiply
    189,876x = 295,182 × 295,182
  4. Step 4: Simplify right side
    189,876x = 87,132,413,124
  5. Step 5: Solve for x
    x = 87,132,413,124/189,876
  6. Step 6: Final answer
    x = 458,891.13

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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.