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Finding the Third Proportional to 189,248 and 412,096

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Solution

The third proportional to 189,248 and 412,096 is: 897,357.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,248 : 412,096 = 412,096 : x
  2. Step 2: Convert to fraction form
    189,248/412,096 = 412,096/x
  3. Step 3: Cross multiply
    189,248x = 412,096 × 412,096
  4. Step 4: Simplify right side
    189,248x = 169,823,113,216
  5. Step 5: Solve for x
    x = 169,823,113,216/189,248
  6. Step 6: Final answer
    x = 897,357.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.