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Finding the Third Proportional to 188,004 and 405,966.75

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Solution

The third proportional to 188,004 and 405,966.75 is: 876,624.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,004 : 405,966.75 = 405,966.75 : x
  2. Step 2: Convert to fraction form
    188,004/405,966.75 = 405,966.75/x
  3. Step 3: Cross multiply
    188,004x = 405,966.75 × 405,966.75
  4. Step 4: Simplify right side
    188,004x = 164,809,002,105.56
  5. Step 5: Solve for x
    x = 164,809,002,105.56/188,004
  6. Step 6: Final answer
    x = 876,624.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.