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Finding the Third Proportional to 134,381 and 194,253

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Solution

The third proportional to 134,381 and 194,253 is: 280,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,381 : 194,253 = 194,253 : x
  2. Step 2: Convert to fraction form
    134,381/194,253 = 194,253/x
  3. Step 3: Cross multiply
    134,381x = 194,253 × 194,253
  4. Step 4: Simplify right side
    134,381x = 37,734,228,009
  5. Step 5: Solve for x
    x = 37,734,228,009/134,381
  6. Step 6: Final answer
    x = 280,800.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.