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Finding the Third Proportional to 188,256 and 413,376

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Solution

The third proportional to 188,256 and 413,376 is: 907,698.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,256 : 413,376 = 413,376 : x
  2. Step 2: Convert to fraction form
    188,256/413,376 = 413,376/x
  3. Step 3: Cross multiply
    188,256x = 413,376 × 413,376
  4. Step 4: Simplify right side
    188,256x = 170,879,717,376
  5. Step 5: Solve for x
    x = 170,879,717,376/188,256
  6. Step 6: Final answer
    x = 907,698.65

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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.