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Finding the Third Proportional to 188,414 and 404,125

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Solution

The third proportional to 188,414 and 404,125 is: 866,798.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,414 : 404,125 = 404,125 : x
  2. Step 2: Convert to fraction form
    188,414/404,125 = 404,125/x
  3. Step 3: Cross multiply
    188,414x = 404,125 × 404,125
  4. Step 4: Simplify right side
    188,414x = 163,317,015,625
  5. Step 5: Solve for x
    x = 163,317,015,625/188,414
  6. Step 6: Final answer
    x = 866,798.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.