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Finding the Third Proportional to 192,364.88 and 298,593.84

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Solution

The third proportional to 192,364.88 and 298,593.84 is: 463,485.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,364.88 : 298,593.84 = 298,593.84 : x
  2. Step 2: Convert to fraction form
    192,364.88/298,593.84 = 298,593.84/x
  3. Step 3: Cross multiply
    192,364.88x = 298,593.84 × 298,593.84
  4. Step 4: Simplify right side
    192,364.88x = 89,158,283,525.40
  5. Step 5: Solve for x
    x = 89,158,283,525.40/192,364.88
  6. Step 6: Final answer
    x = 463,485.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.