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Finding the Third Proportional to 138,648 and 300,912

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Solution

The third proportional to 138,648 and 300,912 is: 653,078.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,648 : 300,912 = 300,912 : x
  2. Step 2: Convert to fraction form
    138,648/300,912 = 300,912/x
  3. Step 3: Cross multiply
    138,648x = 300,912 × 300,912
  4. Step 4: Simplify right side
    138,648x = 90,548,031,744
  5. Step 5: Solve for x
    x = 90,548,031,744/138,648
  6. Step 6: Final answer
    x = 653,078.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.