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Finding the Third Proportional to 138,150 and 295,902

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Solution

The third proportional to 138,150 and 295,902 is: 633,789.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,150 : 295,902 = 295,902 : x
  2. Step 2: Convert to fraction form
    138,150/295,902 = 295,902/x
  3. Step 3: Cross multiply
    138,150x = 295,902 × 295,902
  4. Step 4: Simplify right side
    138,150x = 87,557,993,604
  5. Step 5: Solve for x
    x = 87,557,993,604/138,150
  6. Step 6: Final answer
    x = 633,789.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.