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Finding the Third Proportional to 188,240 and 413,344

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Solution

The third proportional to 188,240 and 413,344 is: 907,635.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,240 : 413,344 = 413,344 : x
  2. Step 2: Convert to fraction form
    188,240/413,344 = 413,344/x
  3. Step 3: Cross multiply
    188,240x = 413,344 × 413,344
  4. Step 4: Simplify right side
    188,240x = 170,853,262,336
  5. Step 5: Solve for x
    x = 170,853,262,336/188,240
  6. Step 6: Final answer
    x = 907,635.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.