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Finding the Third Proportional to 171,941.75 and 377,098.75

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Solution

The third proportional to 171,941.75 and 377,098.75 is: 827,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,941.75 : 377,098.75 = 377,098.75 : x
  2. Step 2: Convert to fraction form
    171,941.75/377,098.75 = 377,098.75/x
  3. Step 3: Cross multiply
    171,941.75x = 377,098.75 × 377,098.75
  4. Step 4: Simplify right side
    171,941.75x = 142,203,467,251.56
  5. Step 5: Solve for x
    x = 142,203,467,251.56/171,941.75
  6. Step 6: Final answer
    x = 827,044.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.