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Finding the Third Proportional to 138,456 and 303,116

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Solution

The third proportional to 138,456 and 303,116 is: 663,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,456 : 303,116 = 303,116 : x
  2. Step 2: Convert to fraction form
    138,456/303,116 = 303,116/x
  3. Step 3: Cross multiply
    138,456x = 303,116 × 303,116
  4. Step 4: Simplify right side
    138,456x = 91,879,309,456
  5. Step 5: Solve for x
    x = 91,879,309,456/138,456
  6. Step 6: Final answer
    x = 663,599.33

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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.