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Finding the Third Proportional to 80,497 and 176,852

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Solution

The third proportional to 80,497 and 176,852 is: 388,544.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,497 : 176,852 = 176,852 : x
  2. Step 2: Convert to fraction form
    80,497/176,852 = 176,852/x
  3. Step 3: Cross multiply
    80,497x = 176,852 × 176,852
  4. Step 4: Simplify right side
    80,497x = 31,276,629,904
  5. Step 5: Solve for x
    x = 31,276,629,904/80,497
  6. Step 6: Final answer
    x = 388,544.04

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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.