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Finding the Third Proportional to 175,591 and 379,262

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Solution

The third proportional to 175,591 and 379,262 is: 819,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,591 : 379,262 = 379,262 : x
  2. Step 2: Convert to fraction form
    175,591/379,262 = 379,262/x
  3. Step 3: Cross multiply
    175,591x = 379,262 × 379,262
  4. Step 4: Simplify right side
    175,591x = 143,839,664,644
  5. Step 5: Solve for x
    x = 143,839,664,644/175,591
  6. Step 6: Final answer
    x = 819,174.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.