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Finding the Third Proportional to 188,228 and 413,772

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Solution

The third proportional to 188,228 and 413,772 is: 909,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,228 : 413,772 = 413,772 : x
  2. Step 2: Convert to fraction form
    188,228/413,772 = 413,772/x
  3. Step 3: Cross multiply
    188,228x = 413,772 × 413,772
  4. Step 4: Simplify right side
    188,228x = 171,207,267,984
  5. Step 5: Solve for x
    x = 171,207,267,984/188,228
  6. Step 6: Final answer
    x = 909,573.86

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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.