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Finding the Third Proportional to 142,606 and 309,843

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Solution

The third proportional to 142,606 and 309,843 is: 673,202.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,606 : 309,843 = 309,843 : x
  2. Step 2: Convert to fraction form
    142,606/309,843 = 309,843/x
  3. Step 3: Cross multiply
    142,606x = 309,843 × 309,843
  4. Step 4: Simplify right side
    142,606x = 96,002,684,649
  5. Step 5: Solve for x
    x = 96,002,684,649/142,606
  6. Step 6: Final answer
    x = 673,202.28

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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.