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Finding the Third Proportional to 173,080 and 262,868

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Solution

The third proportional to 173,080 and 262,868 is: 399,234.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,080 : 262,868 = 262,868 : x
  2. Step 2: Convert to fraction form
    173,080/262,868 = 262,868/x
  3. Step 3: Cross multiply
    173,080x = 262,868 × 262,868
  4. Step 4: Simplify right side
    173,080x = 69,099,585,424
  5. Step 5: Solve for x
    x = 69,099,585,424/173,080
  6. Step 6: Final answer
    x = 399,234.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.