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Finding the Third Proportional to 143,546 and 309,027

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Solution

The third proportional to 143,546 and 309,027 is: 665,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,546 : 309,027 = 309,027 : x
  2. Step 2: Convert to fraction form
    143,546/309,027 = 309,027/x
  3. Step 3: Cross multiply
    143,546x = 309,027 × 309,027
  4. Step 4: Simplify right side
    143,546x = 95,497,686,729
  5. Step 5: Solve for x
    x = 95,497,686,729/143,546
  6. Step 6: Final answer
    x = 665,275.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.