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Finding the Third Proportional to 171,721 and 252,615

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Solution

The third proportional to 171,721 and 252,615 is: 371,616.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,721 : 252,615 = 252,615 : x
  2. Step 2: Convert to fraction form
    171,721/252,615 = 252,615/x
  3. Step 3: Cross multiply
    171,721x = 252,615 × 252,615
  4. Step 4: Simplify right side
    171,721x = 63,814,338,225
  5. Step 5: Solve for x
    x = 63,814,338,225/171,721
  6. Step 6: Final answer
    x = 371,616.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.