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Finding the Third Proportional to 133,065 and 200,984

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Solution

The third proportional to 133,065 and 200,984 is: 303,570.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,065 : 200,984 = 200,984 : x
  2. Step 2: Convert to fraction form
    133,065/200,984 = 200,984/x
  3. Step 3: Cross multiply
    133,065x = 200,984 × 200,984
  4. Step 4: Simplify right side
    133,065x = 40,394,568,256
  5. Step 5: Solve for x
    x = 40,394,568,256/133,065
  6. Step 6: Final answer
    x = 303,570.20

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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.