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Finding the Third Proportional to 193,092 and 298,395

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Solution

The third proportional to 193,092 and 298,395 is: 461,125.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,092 : 298,395 = 298,395 : x
  2. Step 2: Convert to fraction form
    193,092/298,395 = 298,395/x
  3. Step 3: Cross multiply
    193,092x = 298,395 × 298,395
  4. Step 4: Simplify right side
    193,092x = 89,039,576,025
  5. Step 5: Solve for x
    x = 89,039,576,025/193,092
  6. Step 6: Final answer
    x = 461,125.14

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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.