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Finding the Third Proportional to 170,108 and 371,296

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Solution

The third proportional to 170,108 and 371,296 is: 810,430.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,108 : 371,296 = 371,296 : x
  2. Step 2: Convert to fraction form
    170,108/371,296 = 371,296/x
  3. Step 3: Cross multiply
    170,108x = 371,296 × 371,296
  4. Step 4: Simplify right side
    170,108x = 137,860,719,616
  5. Step 5: Solve for x
    x = 137,860,719,616/170,108
  6. Step 6: Final answer
    x = 810,430.55

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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.