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Finding the Third Proportional to 170,257 and 345,378

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Solution

The third proportional to 170,257 and 345,378 is: 700,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,257 : 345,378 = 345,378 : x
  2. Step 2: Convert to fraction form
    170,257/345,378 = 345,378/x
  3. Step 3: Cross multiply
    170,257x = 345,378 × 345,378
  4. Step 4: Simplify right side
    170,257x = 119,285,962,884
  5. Step 5: Solve for x
    x = 119,285,962,884/170,257
  6. Step 6: Final answer
    x = 700,622.96

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.