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Finding the Third Proportional to 193,460 and 298,936

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Solution

The third proportional to 193,460 and 298,936 is: 461,918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460 : 298,936 = 298,936 : x
  2. Step 2: Convert to fraction form
    193,460/298,936 = 298,936/x
  3. Step 3: Cross multiply
    193,460x = 298,936 × 298,936
  4. Step 4: Simplify right side
    193,460x = 89,362,732,096
  5. Step 5: Solve for x
    x = 89,362,732,096/193,460
  6. Step 6: Final answer
    x = 461,918.39

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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.