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Finding the Third Proportional to 137,086.88 and 300,659.63

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Solution

The third proportional to 137,086.88 and 300,659.63 is: 659,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,086.88 : 300,659.63 = 300,659.63 : x
  2. Step 2: Convert to fraction form
    137,086.88/300,659.63 = 300,659.63/x
  3. Step 3: Cross multiply
    137,086.88x = 300,659.63 × 300,659.63
  4. Step 4: Simplify right side
    137,086.88x = 90,396,210,105.14
  5. Step 5: Solve for x
    x = 90,396,210,105.14/137,086.88
  6. Step 6: Final answer
    x = 659,408.20

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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.