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Finding the Third Proportional to 173,682 and 271,028

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Solution

The third proportional to 173,682 and 271,028 is: 422,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,682 : 271,028 = 271,028 : x
  2. Step 2: Convert to fraction form
    173,682/271,028 = 271,028/x
  3. Step 3: Cross multiply
    173,682x = 271,028 × 271,028
  4. Step 4: Simplify right side
    173,682x = 73,456,176,784
  5. Step 5: Solve for x
    x = 73,456,176,784/173,682
  6. Step 6: Final answer
    x = 422,934.89

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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.