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Finding the Third Proportional to 131,944 and 311,158

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Solution

The third proportional to 131,944 and 311,158 is: 733,790.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,944 : 311,158 = 311,158 : x
  2. Step 2: Convert to fraction form
    131,944/311,158 = 311,158/x
  3. Step 3: Cross multiply
    131,944x = 311,158 × 311,158
  4. Step 4: Simplify right side
    131,944x = 96,819,300,964
  5. Step 5: Solve for x
    x = 96,819,300,964/131,944
  6. Step 6: Final answer
    x = 733,790.86

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.