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Finding the Third Proportional to 187,954 and 287,884

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Solution

The third proportional to 187,954 and 287,884 is: 440,944.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,954 : 287,884 = 287,884 : x
  2. Step 2: Convert to fraction form
    187,954/287,884 = 287,884/x
  3. Step 3: Cross multiply
    187,954x = 287,884 × 287,884
  4. Step 4: Simplify right side
    187,954x = 82,877,197,456
  5. Step 5: Solve for x
    x = 82,877,197,456/187,954
  6. Step 6: Final answer
    x = 440,944.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.