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Finding the Third Proportional to 175,908 and 414,825

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Solution

The third proportional to 175,908 and 414,825 is: 978,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,908 : 414,825 = 414,825 : x
  2. Step 2: Convert to fraction form
    175,908/414,825 = 414,825/x
  3. Step 3: Cross multiply
    175,908x = 414,825 × 414,825
  4. Step 4: Simplify right side
    175,908x = 172,079,780,625
  5. Step 5: Solve for x
    x = 172,079,780,625/175,908
  6. Step 6: Final answer
    x = 978,237.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.