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Finding the Third Proportional to 185,825 and 280,479

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Solution

The third proportional to 185,825 and 280,479 is: 423,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,825 : 280,479 = 280,479 : x
  2. Step 2: Convert to fraction form
    185,825/280,479 = 280,479/x
  3. Step 3: Cross multiply
    185,825x = 280,479 × 280,479
  4. Step 4: Simplify right side
    185,825x = 78,668,469,441
  5. Step 5: Solve for x
    x = 78,668,469,441/185,825
  6. Step 6: Final answer
    x = 423,347.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.