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Finding the Third Proportional to 188,442 and 410,175

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Solution

The third proportional to 188,442 and 410,175 is: 892,813.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,442 : 410,175 = 410,175 : x
  2. Step 2: Convert to fraction form
    188,442/410,175 = 410,175/x
  3. Step 3: Cross multiply
    188,442x = 410,175 × 410,175
  4. Step 4: Simplify right side
    188,442x = 168,243,530,625
  5. Step 5: Solve for x
    x = 168,243,530,625/188,442
  6. Step 6: Final answer
    x = 892,813.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.