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Finding the Third Proportional to 193,169.25 and 295,496.63

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Solution

The third proportional to 193,169.25 and 295,496.63 is: 452,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,169.25 : 295,496.63 = 295,496.63 : x
  2. Step 2: Convert to fraction form
    193,169.25/295,496.63 = 295,496.63/x
  3. Step 3: Cross multiply
    193,169.25x = 295,496.63 × 295,496.63
  4. Step 4: Simplify right side
    193,169.25x = 87,318,255,386.39
  5. Step 5: Solve for x
    x = 87,318,255,386.39/193,169.25
  6. Step 6: Final answer
    x = 452,029.79

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