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Finding the Third Proportional to 80,644 and 177,032

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Solution

The third proportional to 80,644 and 177,032 is: 388,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,644 : 177,032 = 177,032 : x
  2. Step 2: Convert to fraction form
    80,644/177,032 = 177,032/x
  3. Step 3: Cross multiply
    80,644x = 177,032 × 177,032
  4. Step 4: Simplify right side
    80,644x = 31,340,329,024
  5. Step 5: Solve for x
    x = 31,340,329,024/80,644
  6. Step 6: Final answer
    x = 388,625.68

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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.