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Finding the Third Proportional to 171,728 and 373,966

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Solution

The third proportional to 171,728 and 373,966 is: 814,372.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,728 : 373,966 = 373,966 : x
  2. Step 2: Convert to fraction form
    171,728/373,966 = 373,966/x
  3. Step 3: Cross multiply
    171,728x = 373,966 × 373,966
  4. Step 4: Simplify right side
    171,728x = 139,850,569,156
  5. Step 5: Solve for x
    x = 139,850,569,156/171,728
  6. Step 6: Final answer
    x = 814,372.55

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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.