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Finding the Third Proportional to 182,208 and 285,805

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Solution

The third proportional to 182,208 and 285,805 is: 448,303.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,208 : 285,805 = 285,805 : x
  2. Step 2: Convert to fraction form
    182,208/285,805 = 285,805/x
  3. Step 3: Cross multiply
    182,208x = 285,805 × 285,805
  4. Step 4: Simplify right side
    182,208x = 81,684,498,025
  5. Step 5: Solve for x
    x = 81,684,498,025/182,208
  6. Step 6: Final answer
    x = 448,303.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.