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Finding the Third Proportional to 172,496 and 274,296

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Solution

The third proportional to 172,496 and 274,296 is: 436,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,496 : 274,296 = 274,296 : x
  2. Step 2: Convert to fraction form
    172,496/274,296 = 274,296/x
  3. Step 3: Cross multiply
    172,496x = 274,296 × 274,296
  4. Step 4: Simplify right side
    172,496x = 75,238,295,616
  5. Step 5: Solve for x
    x = 75,238,295,616/172,496
  6. Step 6: Final answer
    x = 436,174.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.