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Finding the Third Proportional to 171,474 and 366,590

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Solution

The third proportional to 171,474 and 366,590 is: 783,723.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,474 : 366,590 = 366,590 : x
  2. Step 2: Convert to fraction form
    171,474/366,590 = 366,590/x
  3. Step 3: Cross multiply
    171,474x = 366,590 × 366,590
  4. Step 4: Simplify right side
    171,474x = 134,388,228,100
  5. Step 5: Solve for x
    x = 134,388,228,100/171,474
  6. Step 6: Final answer
    x = 783,723.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.