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Finding the Third Proportional to 170,552 and 361,884

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Solution

The third proportional to 170,552 and 361,884 is: 767,859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,552 : 361,884 = 361,884 : x
  2. Step 2: Convert to fraction form
    170,552/361,884 = 361,884/x
  3. Step 3: Cross multiply
    170,552x = 361,884 × 361,884
  4. Step 4: Simplify right side
    170,552x = 130,960,029,456
  5. Step 5: Solve for x
    x = 130,960,029,456/170,552
  6. Step 6: Final answer
    x = 767,859.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.