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Finding the Third Proportional to 142,027 and 309,477

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Solution

The third proportional to 142,027 and 309,477 is: 674,350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,027 : 309,477 = 309,477 : x
  2. Step 2: Convert to fraction form
    142,027/309,477 = 309,477/x
  3. Step 3: Cross multiply
    142,027x = 309,477 × 309,477
  4. Step 4: Simplify right side
    142,027x = 95,776,013,529
  5. Step 5: Solve for x
    x = 95,776,013,529/142,027
  6. Step 6: Final answer
    x = 674,350.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.