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Finding the Third Proportional to 175,614 and 379,306

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Solution

The third proportional to 175,614 and 379,306 is: 819,257.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,614 : 379,306 = 379,306 : x
  2. Step 2: Convert to fraction form
    175,614/379,306 = 379,306/x
  3. Step 3: Cross multiply
    175,614x = 379,306 × 379,306
  4. Step 4: Simplify right side
    175,614x = 143,873,041,636
  5. Step 5: Solve for x
    x = 143,873,041,636/175,614
  6. Step 6: Final answer
    x = 819,257.24

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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.