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Finding the Third Proportional to 175,606 and 379,291

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Solution

The third proportional to 175,606 and 379,291 is: 819,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,606 : 379,291 = 379,291 : x
  2. Step 2: Convert to fraction form
    175,606/379,291 = 379,291/x
  3. Step 3: Cross multiply
    175,606x = 379,291 × 379,291
  4. Step 4: Simplify right side
    175,606x = 143,861,662,681
  5. Step 5: Solve for x
    x = 143,861,662,681/175,606
  6. Step 6: Final answer
    x = 819,229.77

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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.