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Finding the Third Proportional to 251,844 and 380,192

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Solution

The third proportional to 251,844 and 380,192 is: 573,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,844 : 380,192 = 380,192 : x
  2. Step 2: Convert to fraction form
    251,844/380,192 = 380,192/x
  3. Step 3: Cross multiply
    251,844x = 380,192 × 380,192
  4. Step 4: Simplify right side
    251,844x = 144,545,956,864
  5. Step 5: Solve for x
    x = 144,545,956,864/251,844
  6. Step 6: Final answer
    x = 573,950.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.