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Finding the Third Proportional to 188,121 and 401,757

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Solution

The third proportional to 188,121 and 401,757 is: 858,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,121 : 401,757 = 401,757 : x
  2. Step 2: Convert to fraction form
    188,121/401,757 = 401,757/x
  3. Step 3: Cross multiply
    188,121x = 401,757 × 401,757
  4. Step 4: Simplify right side
    188,121x = 161,408,687,049
  5. Step 5: Solve for x
    x = 161,408,687,049/188,121
  6. Step 6: Final answer
    x = 858,004.62

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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.