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Finding the Third Proportional to 133,886 and 200,836

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Solution

The third proportional to 133,886 and 200,836 is: 301,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,886 : 200,836 = 200,836 : x
  2. Step 2: Convert to fraction form
    133,886/200,836 = 200,836/x
  3. Step 3: Cross multiply
    133,886x = 200,836 × 200,836
  4. Step 4: Simplify right side
    133,886x = 40,335,098,896
  5. Step 5: Solve for x
    x = 40,335,098,896/133,886
  6. Step 6: Final answer
    x = 301,264.50

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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.