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Finding the Third Proportional to 192,825.56 and 295,799.34

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Solution

The third proportional to 192,825.56 and 295,799.34 is: 453,763.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,825.56 : 295,799.34 = 295,799.34 : x
  2. Step 2: Convert to fraction form
    192,825.56/295,799.34 = 295,799.34/x
  3. Step 3: Cross multiply
    192,825.56x = 295,799.34 × 295,799.34
  4. Step 4: Simplify right side
    192,825.56x = 87,497,251,762.93
  5. Step 5: Solve for x
    x = 87,497,251,762.93/192,825.56
  6. Step 6: Final answer
    x = 453,763.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.