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Finding the Third Proportional to 182,751 and 382,026

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Solution

The third proportional to 182,751 and 382,026 is: 798,594.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,751 : 382,026 = 382,026 : x
  2. Step 2: Convert to fraction form
    182,751/382,026 = 382,026/x
  3. Step 3: Cross multiply
    182,751x = 382,026 × 382,026
  4. Step 4: Simplify right side
    182,751x = 145,943,864,676
  5. Step 5: Solve for x
    x = 145,943,864,676/182,751
  6. Step 6: Final answer
    x = 798,594.07

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.