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Finding the Third Proportional to 138,010 and 295,694

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Solution

The third proportional to 138,010 and 295,694 is: 633,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,010 : 295,694 = 295,694 : x
  2. Step 2: Convert to fraction form
    138,010/295,694 = 295,694/x
  3. Step 3: Cross multiply
    138,010x = 295,694 × 295,694
  4. Step 4: Simplify right side
    138,010x = 87,434,941,636
  5. Step 5: Solve for x
    x = 87,434,941,636/138,010
  6. Step 6: Final answer
    x = 633,540.62

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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.