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Finding the Third Proportional to 170,508 and 371,544

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Solution

The third proportional to 170,508 and 371,544 is: 809,609.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,508 : 371,544 = 371,544 : x
  2. Step 2: Convert to fraction form
    170,508/371,544 = 371,544/x
  3. Step 3: Cross multiply
    170,508x = 371,544 × 371,544
  4. Step 4: Simplify right side
    170,508x = 138,044,943,936
  5. Step 5: Solve for x
    x = 138,044,943,936/170,508
  6. Step 6: Final answer
    x = 809,609.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.