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Finding the Third Proportional to 173,182 and 259,078

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Solution

The third proportional to 173,182 and 259,078 is: 387,577.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,182 : 259,078 = 259,078 : x
  2. Step 2: Convert to fraction form
    173,182/259,078 = 259,078/x
  3. Step 3: Cross multiply
    173,182x = 259,078 × 259,078
  4. Step 4: Simplify right side
    173,182x = 67,121,410,084
  5. Step 5: Solve for x
    x = 67,121,410,084/173,182
  6. Step 6: Final answer
    x = 387,577.29

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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.