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Finding the Third Proportional to 166,487 and 270,493

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Solution

The third proportional to 166,487 and 270,493 is: 439,472.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,487 : 270,493 = 270,493 : x
  2. Step 2: Convert to fraction form
    166,487/270,493 = 270,493/x
  3. Step 3: Cross multiply
    166,487x = 270,493 × 270,493
  4. Step 4: Simplify right side
    166,487x = 73,166,463,049
  5. Step 5: Solve for x
    x = 73,166,463,049/166,487
  6. Step 6: Final answer
    x = 439,472.53

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.