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Finding the Third Proportional to 134,367 and 194,237

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Solution

The third proportional to 134,367 and 194,237 is: 280,783.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,367 : 194,237 = 194,237 : x
  2. Step 2: Convert to fraction form
    134,367/194,237 = 194,237/x
  3. Step 3: Cross multiply
    134,367x = 194,237 × 194,237
  4. Step 4: Simplify right side
    134,367x = 37,728,012,169
  5. Step 5: Solve for x
    x = 37,728,012,169/134,367
  6. Step 6: Final answer
    x = 280,783.32

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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.