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Finding the Third Proportional to 136,408.50 and 298,190.25

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Solution

The third proportional to 136,408.50 and 298,190.25 is: 651,846.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,408.50 : 298,190.25 = 298,190.25 : x
  2. Step 2: Convert to fraction form
    136,408.50/298,190.25 = 298,190.25/x
  3. Step 3: Cross multiply
    136,408.50x = 298,190.25 × 298,190.25
  4. Step 4: Simplify right side
    136,408.50x = 88,917,425,195.06
  5. Step 5: Solve for x
    x = 88,917,425,195.06/136,408.50
  6. Step 6: Final answer
    x = 651,846.66

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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.