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Finding the Third Proportional to 175,900 and 414,823

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Solution

The third proportional to 175,900 and 414,823 is: 978,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,900 : 414,823 = 414,823 : x
  2. Step 2: Convert to fraction form
    175,900/414,823 = 414,823/x
  3. Step 3: Cross multiply
    175,900x = 414,823 × 414,823
  4. Step 4: Simplify right side
    175,900x = 172,078,121,329
  5. Step 5: Solve for x
    x = 172,078,121,329/175,900
  6. Step 6: Final answer
    x = 978,272.44

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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.