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Finding the Third Proportional to 138,967 and 303,025

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Solution

The third proportional to 138,967 and 303,025 is: 660,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,967 : 303,025 = 303,025 : x
  2. Step 2: Convert to fraction form
    138,967/303,025 = 303,025/x
  3. Step 3: Cross multiply
    138,967x = 303,025 × 303,025
  4. Step 4: Simplify right side
    138,967x = 91,824,150,625
  5. Step 5: Solve for x
    x = 91,824,150,625/138,967
  6. Step 6: Final answer
    x = 660,762.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.