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Finding the Third Proportional to 192,190.22 and 420,579.84

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Solution

The third proportional to 192,190.22 and 420,579.84 is: 920,376.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,190.22 : 420,579.84 = 420,579.84 : x
  2. Step 2: Convert to fraction form
    192,190.22/420,579.84 = 420,579.84/x
  3. Step 3: Cross multiply
    192,190.22x = 420,579.84 × 420,579.84
  4. Step 4: Simplify right side
    192,190.22x = 176,887,404,968.77
  5. Step 5: Solve for x
    x = 176,887,404,968.77/192,190.22
  6. Step 6: Final answer
    x = 920,376.73

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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.