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Finding the Third Proportional to 131,955 and 311,190

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Solution

The third proportional to 131,955 and 311,190 is: 733,880.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,955 : 311,190 = 311,190 : x
  2. Step 2: Convert to fraction form
    131,955/311,190 = 311,190/x
  3. Step 3: Cross multiply
    131,955x = 311,190 × 311,190
  4. Step 4: Simplify right side
    131,955x = 96,839,216,100
  5. Step 5: Solve for x
    x = 96,839,216,100/131,955
  6. Step 6: Final answer
    x = 733,880.61

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Why These Related Problems?

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