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Finding the Third Proportional to 193,193.75 and 295,527.63

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Solution

The third proportional to 193,193.75 and 295,527.63 is: 452,067.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,193.75 : 295,527.63 = 295,527.63 : x
  2. Step 2: Convert to fraction form
    193,193.75/295,527.63 = 295,527.63/x
  3. Step 3: Cross multiply
    193,193.75x = 295,527.63 × 295,527.63
  4. Step 4: Simplify right side
    193,193.75x = 87,336,577,138.14
  5. Step 5: Solve for x
    x = 87,336,577,138.14/193,193.75
  6. Step 6: Final answer
    x = 452,067.30

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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.