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Finding the Third Proportional to 173,668 and 262,350

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Solution

The third proportional to 173,668 and 262,350 is: 396,316.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,668 : 262,350 = 262,350 : x
  2. Step 2: Convert to fraction form
    173,668/262,350 = 262,350/x
  3. Step 3: Cross multiply
    173,668x = 262,350 × 262,350
  4. Step 4: Simplify right side
    173,668x = 68,827,522,500
  5. Step 5: Solve for x
    x = 68,827,522,500/173,668
  6. Step 6: Final answer
    x = 396,316.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.