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Finding the Third Proportional to 238,186 and 379,149

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Solution

The third proportional to 238,186 and 379,149 is: 603,536.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,186 : 379,149 = 379,149 : x
  2. Step 2: Convert to fraction form
    238,186/379,149 = 379,149/x
  3. Step 3: Cross multiply
    238,186x = 379,149 × 379,149
  4. Step 4: Simplify right side
    238,186x = 143,753,964,201
  5. Step 5: Solve for x
    x = 143,753,964,201/238,186
  6. Step 6: Final answer
    x = 603,536.58

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.