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Finding the Third Proportional to 131,906 and 311,068

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Solution

The third proportional to 131,906 and 311,068 is: 733,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,906 : 311,068 = 311,068 : x
  2. Step 2: Convert to fraction form
    131,906/311,068 = 311,068/x
  3. Step 3: Cross multiply
    131,906x = 311,068 × 311,068
  4. Step 4: Simplify right side
    131,906x = 96,763,300,624
  5. Step 5: Solve for x
    x = 96,763,300,624/131,906
  6. Step 6: Final answer
    x = 733,577.70

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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.