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Finding the Third Proportional to 189,434 and 405,134

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Solution

The third proportional to 189,434 and 405,134 is: 866,441.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,434 : 405,134 = 405,134 : x
  2. Step 2: Convert to fraction form
    189,434/405,134 = 405,134/x
  3. Step 3: Cross multiply
    189,434x = 405,134 × 405,134
  4. Step 4: Simplify right side
    189,434x = 164,133,557,956
  5. Step 5: Solve for x
    x = 164,133,557,956/189,434
  6. Step 6: Final answer
    x = 866,441.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.