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Finding the Third Proportional to 173,234.25 and 259,145

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Solution

The third proportional to 173,234.25 and 259,145 is: 387,660.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,234.25 : 259,145 = 259,145 : x
  2. Step 2: Convert to fraction form
    173,234.25/259,145 = 259,145/x
  3. Step 3: Cross multiply
    173,234.25x = 259,145 × 259,145
  4. Step 4: Simplify right side
    173,234.25x = 67,156,131,025
  5. Step 5: Solve for x
    x = 67,156,131,025/173,234.25
  6. Step 6: Final answer
    x = 387,660.82

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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.