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Finding the Third Proportional to 134,399 and 194,281

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Solution

The third proportional to 134,399 and 194,281 is: 280,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,399 : 194,281 = 194,281 : x
  2. Step 2: Convert to fraction form
    134,399/194,281 = 194,281/x
  3. Step 3: Cross multiply
    134,399x = 194,281 × 194,281
  4. Step 4: Simplify right side
    134,399x = 37,745,106,961
  5. Step 5: Solve for x
    x = 37,745,106,961/134,399
  6. Step 6: Final answer
    x = 280,843.66

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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.