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Finding the Third Proportional to 133,033 and 200,930

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Solution

The third proportional to 133,033 and 200,930 is: 303,480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,033 : 200,930 = 200,930 : x
  2. Step 2: Convert to fraction form
    133,033/200,930 = 200,930/x
  3. Step 3: Cross multiply
    133,033x = 200,930 × 200,930
  4. Step 4: Simplify right side
    133,033x = 40,372,864,900
  5. Step 5: Solve for x
    x = 40,372,864,900/133,033
  6. Step 6: Final answer
    x = 303,480.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.