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Finding the Third Proportional to 169,519.50 and 361,530

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Solution

The third proportional to 169,519.50 and 361,530 is: 771,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,519.50 : 361,530 = 361,530 : x
  2. Step 2: Convert to fraction form
    169,519.50/361,530 = 361,530/x
  3. Step 3: Cross multiply
    169,519.50x = 361,530 × 361,530
  4. Step 4: Simplify right side
    169,519.50x = 130,703,940,900
  5. Step 5: Solve for x
    x = 130,703,940,900/169,519.50
  6. Step 6: Final answer
    x = 771,025.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.