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Finding the Third Proportional to 133,680 and 178,392

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Solution

The third proportional to 133,680 and 178,392 is: 238,058.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,680 : 178,392 = 178,392 : x
  2. Step 2: Convert to fraction form
    133,680/178,392 = 178,392/x
  3. Step 3: Cross multiply
    133,680x = 178,392 × 178,392
  4. Step 4: Simplify right side
    133,680x = 31,823,705,664
  5. Step 5: Solve for x
    x = 31,823,705,664/133,680
  6. Step 6: Final answer
    x = 238,058.84

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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.