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Finding the Third Proportional to 192,415.50 and 298,674

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Solution

The third proportional to 192,415.50 and 298,674 is: 463,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415.50 : 298,674 = 298,674 : x
  2. Step 2: Convert to fraction form
    192,415.50/298,674 = 298,674/x
  3. Step 3: Cross multiply
    192,415.50x = 298,674 × 298,674
  4. Step 4: Simplify right side
    192,415.50x = 89,206,158,276
  5. Step 5: Solve for x
    x = 89,206,158,276/192,415.50
  6. Step 6: Final answer
    x = 463,612.12

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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.