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Finding the Third Proportional to 177,367 and 260,863

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Solution

The third proportional to 177,367 and 260,863 is: 383,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,367 : 260,863 = 260,863 : x
  2. Step 2: Convert to fraction form
    177,367/260,863 = 260,863/x
  3. Step 3: Cross multiply
    177,367x = 260,863 × 260,863
  4. Step 4: Simplify right side
    177,367x = 68,049,504,769
  5. Step 5: Solve for x
    x = 68,049,504,769/177,367
  6. Step 6: Final answer
    x = 383,664.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.