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Finding the Third Proportional to 177,596 and 271,680

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Solution

The third proportional to 177,596 and 271,680 is: 415,606.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,596 : 271,680 = 271,680 : x
  2. Step 2: Convert to fraction form
    177,596/271,680 = 271,680/x
  3. Step 3: Cross multiply
    177,596x = 271,680 × 271,680
  4. Step 4: Simplify right side
    177,596x = 73,810,022,400
  5. Step 5: Solve for x
    x = 73,810,022,400/177,596
  6. Step 6: Final answer
    x = 415,606.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.