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Finding the Third Proportional to 182,742 and 273,357

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Solution

The third proportional to 182,742 and 273,357 is: 408,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,742 : 273,357 = 273,357 : x
  2. Step 2: Convert to fraction form
    182,742/273,357 = 273,357/x
  3. Step 3: Cross multiply
    182,742x = 273,357 × 273,357
  4. Step 4: Simplify right side
    182,742x = 74,724,049,449
  5. Step 5: Solve for x
    x = 74,724,049,449/182,742
  6. Step 6: Final answer
    x = 408,904.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.