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Finding the Third Proportional to 80,573 and 177,233

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Solution

The third proportional to 80,573 and 177,233 is: 389,851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,573 : 177,233 = 177,233 : x
  2. Step 2: Convert to fraction form
    80,573/177,233 = 177,233/x
  3. Step 3: Cross multiply
    80,573x = 177,233 × 177,233
  4. Step 4: Simplify right side
    80,573x = 31,411,536,289
  5. Step 5: Solve for x
    x = 31,411,536,289/80,573
  6. Step 6: Final answer
    x = 389,851.89

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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.