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Finding the Third Proportional to 138,256 and 303,008

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Solution

The third proportional to 138,256 and 303,008 is: 664,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,256 : 303,008 = 303,008 : x
  2. Step 2: Convert to fraction form
    138,256/303,008 = 303,008/x
  3. Step 3: Cross multiply
    138,256x = 303,008 × 303,008
  4. Step 4: Simplify right side
    138,256x = 91,813,848,064
  5. Step 5: Solve for x
    x = 91,813,848,064/138,256
  6. Step 6: Final answer
    x = 664,085.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.