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Finding the Third Proportional to 193,002.75 and 298,252.13

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Solution

The third proportional to 193,002.75 and 298,252.13 is: 460,896.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,002.75 : 298,252.13 = 298,252.13 : x
  2. Step 2: Convert to fraction form
    193,002.75/298,252.13 = 298,252.13/x
  3. Step 3: Cross multiply
    193,002.75x = 298,252.13 × 298,252.13
  4. Step 4: Simplify right side
    193,002.75x = 88,954,330,067.02
  5. Step 5: Solve for x
    x = 88,954,330,067.02/193,002.75
  6. Step 6: Final answer
    x = 460,896.70

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.