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Finding the Third Proportional to 143,226.98 and 311,096.95

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Solution

The third proportional to 143,226.98 and 311,096.95 is: 675,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,226.98 : 311,096.95 = 311,096.95 : x
  2. Step 2: Convert to fraction form
    143,226.98/311,096.95 = 311,096.95/x
  3. Step 3: Cross multiply
    143,226.98x = 311,096.95 × 311,096.95
  4. Step 4: Simplify right side
    143,226.98x = 96,781,314,243.66
  5. Step 5: Solve for x
    x = 96,781,314,243.66/143,226.98
  6. Step 6: Final answer
    x = 675,719.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.