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Finding the Third Proportional to 188,937 and 412,542

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Solution

The third proportional to 188,937 and 412,542 is: 900,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,937 : 412,542 = 412,542 : x
  2. Step 2: Convert to fraction form
    188,937/412,542 = 412,542/x
  3. Step 3: Cross multiply
    188,937x = 412,542 × 412,542
  4. Step 4: Simplify right side
    188,937x = 170,190,901,764
  5. Step 5: Solve for x
    x = 170,190,901,764/188,937
  6. Step 6: Final answer
    x = 900,781.22

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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.