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Finding the Third Proportional to 188,508 and 409,740

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Solution

The third proportional to 188,508 and 409,740 is: 890,608.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,508 : 409,740 = 409,740 : x
  2. Step 2: Convert to fraction form
    188,508/409,740 = 409,740/x
  3. Step 3: Cross multiply
    188,508x = 409,740 × 409,740
  4. Step 4: Simplify right side
    188,508x = 167,886,867,600
  5. Step 5: Solve for x
    x = 167,886,867,600/188,508
  6. Step 6: Final answer
    x = 890,608.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.