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Finding the Third Proportional to 188,390 and 283,006

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Solution

The third proportional to 188,390 and 283,006 is: 425,141.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,390 : 283,006 = 283,006 : x
  2. Step 2: Convert to fraction form
    188,390/283,006 = 283,006/x
  3. Step 3: Cross multiply
    188,390x = 283,006 × 283,006
  4. Step 4: Simplify right side
    188,390x = 80,092,396,036
  5. Step 5: Solve for x
    x = 80,092,396,036/188,390
  6. Step 6: Final answer
    x = 425,141.44

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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.