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Finding the Third Proportional to 171,472.50 and 267,021.56

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Solution

The third proportional to 171,472.50 and 267,021.56 is: 415,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,472.50 : 267,021.56 = 267,021.56 : x
  2. Step 2: Convert to fraction form
    171,472.50/267,021.56 = 267,021.56/x
  3. Step 3: Cross multiply
    171,472.50x = 267,021.56 × 267,021.56
  4. Step 4: Simplify right side
    171,472.50x = 71,300,514,839.94
  5. Step 5: Solve for x
    x = 71,300,514,839.94/171,472.50
  6. Step 6: Final answer
    x = 415,813.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.