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Finding the Third Proportional to 192,157.88 and 305,344.13

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Solution

The third proportional to 192,157.88 and 305,344.13 is: 485,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,157.88 : 305,344.13 = 305,344.13 : x
  2. Step 2: Convert to fraction form
    192,157.88/305,344.13 = 305,344.13/x
  3. Step 3: Cross multiply
    192,157.88x = 305,344.13 × 305,344.13
  4. Step 4: Simplify right side
    192,157.88x = 93,235,034,672.02
  5. Step 5: Solve for x
    x = 93,235,034,672.02/192,157.88
  6. Step 6: Final answer
    x = 485,200.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.