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Finding the Third Proportional to 133,682 and 178,395

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Solution

The third proportional to 133,682 and 178,395 is: 238,063.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,682 : 178,395 = 178,395 : x
  2. Step 2: Convert to fraction form
    133,682/178,395 = 178,395/x
  3. Step 3: Cross multiply
    133,682x = 178,395 × 178,395
  4. Step 4: Simplify right side
    133,682x = 31,824,776,025
  5. Step 5: Solve for x
    x = 31,824,776,025/133,682
  6. Step 6: Final answer
    x = 238,063.28

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.