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Finding the Third Proportional to 188,631 and 412,242

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Solution

The third proportional to 188,631 and 412,242 is: 900,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,631 : 412,242 = 412,242 : x
  2. Step 2: Convert to fraction form
    188,631/412,242 = 412,242/x
  3. Step 3: Cross multiply
    188,631x = 412,242 × 412,242
  4. Step 4: Simplify right side
    188,631x = 169,943,466,564
  5. Step 5: Solve for x
    x = 169,943,466,564/188,631
  6. Step 6: Final answer
    x = 900,930.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.