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Finding the Third Proportional to 134,184.50 and 274,195

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Solution

The third proportional to 134,184.50 and 274,195 is: 560,294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,184.50 : 274,195 = 274,195 : x
  2. Step 2: Convert to fraction form
    134,184.50/274,195 = 274,195/x
  3. Step 3: Cross multiply
    134,184.50x = 274,195 × 274,195
  4. Step 4: Simplify right side
    134,184.50x = 75,182,898,025
  5. Step 5: Solve for x
    x = 75,182,898,025/134,184.50
  6. Step 6: Final answer
    x = 560,294.95

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.