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Finding the Third Proportional to 174,774 and 263,026

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Solution

The third proportional to 174,774 and 263,026 is: 395,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,774 : 263,026 = 263,026 : x
  2. Step 2: Convert to fraction form
    174,774/263,026 = 263,026/x
  3. Step 3: Cross multiply
    174,774x = 263,026 × 263,026
  4. Step 4: Simplify right side
    174,774x = 69,182,676,676
  5. Step 5: Solve for x
    x = 69,182,676,676/174,774
  6. Step 6: Final answer
    x = 395,840.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.