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Finding the Third Proportional to 143,757 and 311,949

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Solution

The third proportional to 143,757 and 311,949 is: 676,921.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,757 : 311,949 = 311,949 : x
  2. Step 2: Convert to fraction form
    143,757/311,949 = 311,949/x
  3. Step 3: Cross multiply
    143,757x = 311,949 × 311,949
  4. Step 4: Simplify right side
    143,757x = 97,312,178,601
  5. Step 5: Solve for x
    x = 97,312,178,601/143,757
  6. Step 6: Final answer
    x = 676,921.32

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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.