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Finding the Third Proportional to 188,124 and 401,762

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Solution

The third proportional to 188,124 and 401,762 is: 858,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,124 : 401,762 = 401,762 : x
  2. Step 2: Convert to fraction form
    188,124/401,762 = 401,762/x
  3. Step 3: Cross multiply
    188,124x = 401,762 × 401,762
  4. Step 4: Simplify right side
    188,124x = 161,412,704,644
  5. Step 5: Solve for x
    x = 161,412,704,644/188,124
  6. Step 6: Final answer
    x = 858,012.29

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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.