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Finding the Third Proportional to 188,410 and 283,020

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Solution

The third proportional to 188,410 and 283,020 is: 425,138.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,410 : 283,020 = 283,020 : x
  2. Step 2: Convert to fraction form
    188,410/283,020 = 283,020/x
  3. Step 3: Cross multiply
    188,410x = 283,020 × 283,020
  4. Step 4: Simplify right side
    188,410x = 80,100,320,400
  5. Step 5: Solve for x
    x = 80,100,320,400/188,410
  6. Step 6: Final answer
    x = 425,138.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.