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Finding the Third Proportional to 80,615 and 175,567

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Solution

The third proportional to 80,615 and 175,567 is: 382,357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,615 : 175,567 = 175,567 : x
  2. Step 2: Convert to fraction form
    80,615/175,567 = 175,567/x
  3. Step 3: Cross multiply
    80,615x = 175,567 × 175,567
  4. Step 4: Simplify right side
    80,615x = 30,823,771,489
  5. Step 5: Solve for x
    x = 30,823,771,489/80,615
  6. Step 6: Final answer
    x = 382,357.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.