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Finding the Third Proportional to 134,381 and 200,869

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Solution

The third proportional to 134,381 and 200,869 is: 300,253.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,381 : 200,869 = 200,869 : x
  2. Step 2: Convert to fraction form
    134,381/200,869 = 200,869/x
  3. Step 3: Cross multiply
    134,381x = 200,869 × 200,869
  4. Step 4: Simplify right side
    134,381x = 40,348,355,161
  5. Step 5: Solve for x
    x = 40,348,355,161/134,381
  6. Step 6: Final answer
    x = 300,253.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.