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Finding the Third Proportional to 173,796 and 262,539

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Solution

The third proportional to 173,796 and 262,539 is: 396,595.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,796 : 262,539 = 262,539 : x
  2. Step 2: Convert to fraction form
    173,796/262,539 = 262,539/x
  3. Step 3: Cross multiply
    173,796x = 262,539 × 262,539
  4. Step 4: Simplify right side
    173,796x = 68,926,726,521
  5. Step 5: Solve for x
    x = 68,926,726,521/173,796
  6. Step 6: Final answer
    x = 396,595.59

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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.