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Finding the Third Proportional to 193,366 and 298,799

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Solution

The third proportional to 193,366 and 298,799 is: 461,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,366 : 298,799 = 298,799 : x
  2. Step 2: Convert to fraction form
    193,366/298,799 = 298,799/x
  3. Step 3: Cross multiply
    193,366x = 298,799 × 298,799
  4. Step 4: Simplify right side
    193,366x = 89,280,842,401
  5. Step 5: Solve for x
    x = 89,280,842,401/193,366
  6. Step 6: Final answer
    x = 461,719.45

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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.