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Finding the Third Proportional to 187,005 and 280,434

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Solution

The third proportional to 187,005 and 280,434 is: 420,540.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,005 : 280,434 = 280,434 : x
  2. Step 2: Convert to fraction form
    187,005/280,434 = 280,434/x
  3. Step 3: Cross multiply
    187,005x = 280,434 × 280,434
  4. Step 4: Simplify right side
    187,005x = 78,643,228,356
  5. Step 5: Solve for x
    x = 78,643,228,356/187,005
  6. Step 6: Final answer
    x = 420,540.78

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