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Finding the Third Proportional to 87,472 and 188,336

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Solution

The third proportional to 87,472 and 188,336 is: 405,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,472 : 188,336 = 188,336 : x
  2. Step 2: Convert to fraction form
    87,472/188,336 = 188,336/x
  3. Step 3: Cross multiply
    87,472x = 188,336 × 188,336
  4. Step 4: Simplify right side
    87,472x = 35,470,448,896
  5. Step 5: Solve for x
    x = 35,470,448,896/87,472
  6. Step 6: Final answer
    x = 405,506.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.