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Finding the Third Proportional to 80,977.50 and 177,897

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Solution

The third proportional to 80,977.50 and 177,897 is: 390,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,977.50 : 177,897 = 177,897 : x
  2. Step 2: Convert to fraction form
    80,977.50/177,897 = 177,897/x
  3. Step 3: Cross multiply
    80,977.50x = 177,897 × 177,897
  4. Step 4: Simplify right side
    80,977.50x = 31,647,342,609
  5. Step 5: Solve for x
    x = 31,647,342,609/80,977.50
  6. Step 6: Final answer
    x = 390,816.49

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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.