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Finding the Third Proportional to 143,914 and 305,366

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Solution

The third proportional to 143,914 and 305,366 is: 647,945.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,914 : 305,366 = 305,366 : x
  2. Step 2: Convert to fraction form
    143,914/305,366 = 305,366/x
  3. Step 3: Cross multiply
    143,914x = 305,366 × 305,366
  4. Step 4: Simplify right side
    143,914x = 93,248,393,956
  5. Step 5: Solve for x
    x = 93,248,393,956/143,914
  6. Step 6: Final answer
    x = 647,945.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.