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Finding the Third Proportional to 188,426 and 404,150

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Solution

The third proportional to 188,426 and 404,150 is: 866,850.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,426 : 404,150 = 404,150 : x
  2. Step 2: Convert to fraction form
    188,426/404,150 = 404,150/x
  3. Step 3: Cross multiply
    188,426x = 404,150 × 404,150
  4. Step 4: Simplify right side
    188,426x = 163,337,222,500
  5. Step 5: Solve for x
    x = 163,337,222,500/188,426
  6. Step 6: Final answer
    x = 866,850.77

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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.